{"user":{"current":null,"cookieConsentApplicable":false},"adminSchedule":{"selectedTimeslotSchedules":[]},"auth":{"jwtPayload":null,"firebaseAuthenticated":false},"avatar":{"avatarFields":{"avatarUrl":"","avatarPng":"","childAvatar":false},"avatarError":false,"downloadUrl":"","avatarPng":""},"subscription":{"subscriptionSuccessRedirectUrl":"","subscriptionProduct":{},"currentSubscriptionPriceId":"","currentSubscriptionId":"","allowTrial":false,"isGa4Logged":false,"isSubscriptionApplicable":false,"showSubscriptionPackages":false},"bootcampActivity":{"correctConsecutiveAnswers":0,"currActivityType":1,"currDifficultyLevel":1,"currRewardLevel":1,"answerState":null,"didUpdateEvent":false,"events":[],"currentRound":0,"shouldDisableUserInteraction":false,"shouldGetEnergyOrbs":false,"shouldGetActivityHint":false,"shouldAutoValidateAnswer":false,"collectedRewards":0,"kudos":0},"bootcampPage":{"activities":[],"chest":{},"content":[],"help":{"encyclopediaPath":"","drillPath":""},"isCompleted":false,"sectionName":"","usefulWords":[],"isCollapsed":false,"encyclopediaArticle":{"breadcrumbs":[{"_key":"bcedd644-0bec-506b-86c8-f5dfe20c2b99","h1":"GeoGebra","path":"/geogebra"},{"_key":"ef61a895-ac2e-50db-8973-568345df9c6a","h1":"Numbers and Quantities","path":"/geogebra/numbers-and-quantities"},{"_key":"e0c1b714-a308-5187-9ae8-da563b5bd966","h1":"Vectors","path":"/geogebra/numbers-and-quantities/vectors"},{"_key":"2cc57def-df33-5571-8ed6-2c1f80e03405","h1":"Two Dimensions","path":"/geogebra/numbers-and-quantities/vectors/two-dimensions"},{"_key":"f32be399-3361-5298-b2ef-54cbb6954c66","h1":"How to Compute Scalar Products of Vectors with GeoGebra","path":"/geogebra/numbers-and-quantities/vectors/two-dimensions/how-to-compute-scalar-products-of-vectors-with-geogebra"}],"cssUrl":"/0e751716-e4cf-4658-ac87-c97d9167170e-en-2.css","h1":"How to Compute Scalar Products of Vectors with GeoGebra","htmlContent":{"html":"

There are commands in GeoGebra to find both scalar products and angles between vectors. Note that GeoGebra uses the term dot product for the scalar product.

GeoGebra Instruction 1

Scalar Product

1.: Open CAS in $\"GeoGebra$ View-menu.
2.: Enter

Dot(<Vector>, <Vector>)

in CAS, and fill in the coordinates of the vectors—or their names—to find the scalar product of them. Press Enter.
3.: You can also write the scalar product as a multiplication using * in CAS.

\n \n \n \n \n $\"Screenshot$ \n

Below, we’ll look at how to use GeoGebra to find angles. Keep in mind that CAS by default is set to return the answer in radians, not degrees!

Then, in the final item of the instructions below, we’ll review how to convert the answer into degrees.

GeoGebra Instruction 2

Angle

1.: Open CAS under $\"GeoGebra$ View in $\"GeoGebra$ Menu.
2.: Enter

Angle(<Vector>, <Vector>)

and fill in the coordinates of the vectors—or their names—that you want to find the angle between. Press Enter.
3.: If you now get a strange expression (typically containing atan, acos or asin), select the expression by clicking on it, and then click the button Numeric Evaluation $\"GeoGebra$ .
4.: If the answer does not contain a degree symbol (and is probably a relatively low number), it is given in radians. To convert it to degrees, divide the answer by the $^{\circ}$ symbol (alt+o) or the string deg. Here, deg is short for degree. You will now get your answer in degrees.

\n \n \n \n \n $\"Screenshot$ \n

"},"image":{"_key":"7a1c4135-9921-51ce-9497-d7109bca391f","alt":"Screenshot of GeoGebra showing the dot product of two vectors","dimension":"width","type":"textwidth","url":"https://images.houseofmath.com/eyJrZXkiOiJvdmVybGVhZi1hc3NldHMvaW1hZ2VzL2dnNnNjYWxhcnByb2R1Y3QwMS5wbmciLCJidWNrZXQiOiJob20tZnJvbnRlbmQtYXNzZXRzIiwiZWRpdHMiOnsicmVzaXplIjp7IndpZHRoIjoxMjAwLCJoZWlnaHQiOjYzMH0sInRvRm9ybWF0IjoicG5nIn19","value":1},"isRootPath":false,"key":"content/en/software/02 GeoGebra/01 Numbers and Quantities/03 Vectors/01 Two Dimensions/06ScalarProductGG.tex","language":"en","locale":"en","metaDescription":"Use GeoGebra to find the scalar product of two vectors, and the angle between them. These calculations are complex and GeoGebra will simplify them.","path":"/geogebra/numbers-and-quantities/vectors/two-dimensions/how-to-compute-scalar-products-of-vectors-with-geogebra","previewUrl":"https://images.houseofmath.com/eyJrZXkiOiJvdmVybGVhZi1hc3NldHMvcHJldmlldy8wNnNjYWxhcnByb2R1Y3RnZy5wbmciLCJidWNrZXQiOiJob20tZnJvbnRlbmQtYXNzZXRzIiwidmVyc2lvbiI6M30=","sharedLanguageKey":null,"siblings":[{"h1":"How to Graph a Vector in GeoGebra","path":"/geogebra/numbers-and-quantities/vectors/two-dimensions/how-to-graph-a-vector-in-geogebra"},{"h1":"How to Graph a Position Vector in GeoGebra","path":"/geogebra/numbers-and-quantities/vectors/two-dimensions/how-to-graph-a-position-vector-in-geogebra"},{"h1":"How to Graph Vector Sums and Differences in GeoGebra","path":"/geogebra/numbers-and-quantities/vectors/two-dimensions/how-to-graph-vector-sums-and-differences-in-geogebra"},{"h1":"How to Check If Two Vectors are Parallel Using GeoGebra","path":"/geogebra/numbers-and-quantities/vectors/two-dimensions/how-to-check-if-two-vectors-are-parallel-using-geogebra"},{"h1":"How to Graph a Vector of Given Length in GeoGebra","path":"/geogebra/numbers-and-quantities/vectors/two-dimensions/how-to-graph-a-vector-of-given-length-in-geogebra"},{"h1":"How to Compute Scalar Products of Vectors with GeoGebra","path":"/geogebra/numbers-and-quantities/vectors/two-dimensions/how-to-compute-scalar-products-of-vectors-with-geogebra"},{"h1":"Parametrization of Curves with GeoGebra","path":"/geogebra/numbers-and-quantities/vectors/two-dimensions/parametrization-of-curves-with-geogebra"},{"h1":"How to Solve Vector Equations with GeoGebra","path":"/geogebra/numbers-and-quantities/vectors/two-dimensions/how-to-solve-vector-equations-with-geogebra"},{"h1":"Position, Velocity, Speed and Acceleration in GeoGebra","path":"/geogebra/numbers-and-quantities/vectors/two-dimensions/position-velocity-speed-and-acceleration-in-geogebra"}],"taskReference":null,"title":"How to Compute Scalar Products of Vectors with GeoGebra","type":"geogebra"}},"bootcampVideo":{"progressPercentage":0,"videoLength":1,"isPlaying":false,"hasEnded":false,"isReset":false},"vcc":{"moduleCount":1,"title":"GeoGebra","subjectName":"Geogebra","complexityLevel":1,"whyShortTitle":"","hasWhyLevel":false,"totalModules":1,"totalLevels":0,"levelsPageData":[{"hasEncyclopedia":true,"level":"1","regular":false,"shortTitle":"What Are GeoGebra Views?"},{"hasEncyclopedia":true,"level":"2","regular":false,"shortTitle":"How to Do Basic Math in GeoGebra"},{"hasEncyclopedia":true,"level":"3","regular":false,"shortTitle":"The Keyboard Shortcuts and Settings of GeoGebra"},{"hasEncyclopedia":true,"level":"4","regular":false,"shortTitle":"How to Use the CAS Calculator in GeoGebra"},{"hasEncyclopedia":true,"level":"5","regular":false,"shortTitle":"How to Use the Spreadsheet View in GeoGebra"},{"hasEncyclopedia":true,"level":"6","regular":false,"shortTitle":"How to Insert GeoGebra content in an Exam Answer File"},{"hasEncyclopedia":true,"level":"7","regular":false,"shortTitle":"How to Do Sequences in GeoGebra"},{"hasEncyclopedia":true,"level":"8","regular":false,"shortTitle":"Use the Sum Command in GeoGebra for Sums and Series"},{"hasEncyclopedia":true,"level":"9","regular":false,"shortTitle":"How to Find Prime Numbers with GeoGebra"},{"hasEncyclopedia":true,"level":"10","regular":false,"shortTitle":"Find the Scientific Notation of a Number Using GeoGebra"},{"hasEncyclopedia":true,"level":"11","regular":false,"shortTitle":"How to Calculate Percent and Growth Factors in GeoGebra"},{"hasEncyclopedia":true,"level":"12","regular":false,"shortTitle":"How to Use Prefixes in GeoGebra"},{"hasEncyclopedia":true,"level":"13","regular":false,"shortTitle":"GeoGebra Template for Calculating Your Monthly Paycheck"},{"hasEncyclopedia":true,"level":"14","regular":false,"shortTitle":"Spreadsheets for Budget and Accounting in GeoGebra"},{"hasEncyclopedia":true,"level":"15","regular":false,"shortTitle":"Revenue, Cost, Unit Cost and Profit in GeoGebra"},{"hasEncyclopedia":true,"level":"16","regular":false,"shortTitle":"Revenue with Demand and Price in GeoGebra"},{"hasEncyclopedia":true,"level":"17","regular":false,"shortTitle":"How to Calculate Marginal Revenue with GeoGebra"},{"hasEncyclopedia":true,"level":"18","regular":false,"shortTitle":"How to Find Cost-minimizing Input with GeoGebra"},{"hasEncyclopedia":true,"level":"19","regular":false,"shortTitle":"How to Find Profit-maximizing Input with GeoGebra"},{"hasEncyclopedia":true,"level":"20","regular":false,"shortTitle":"How to Graph a Vector in GeoGebra"},{"hasEncyclopedia":true,"level":"21","regular":false,"shortTitle":"How to Graph a Position Vector in GeoGebra"},{"hasEncyclopedia":true,"level":"22","regular":false,"shortTitle":"How to Graph Vector Sums and Differences in GeoGebra"},{"hasEncyclopedia":true,"level":"23","regular":false,"shortTitle":"How to Check If Two Vectors are Parallel Using GeoGebra"},{"hasEncyclopedia":true,"level":"24","regular":false,"shortTitle":"How to Graph a Vector of Given Length in GeoGebra"},{"hasEncyclopedia":true,"level":"25","regular":false,"shortTitle":"How to Compute Scalar Products of Vectors with GeoGebra"},{"hasEncyclopedia":true,"level":"26","regular":false,"shortTitle":"Parametrization of Curves with GeoGebra"},{"hasEncyclopedia":true,"level":"27","regular":false,"shortTitle":"How to Solve Vector Equations with GeoGebra"},{"hasEncyclopedia":true,"level":"28","regular":false,"shortTitle":"Position, Velocity, Speed and Acceleration in GeoGebra"},{"hasEncyclopedia":true,"level":"29","regular":false,"shortTitle":"How to Compute Vector Products with GeoGebra"},{"hasEncyclopedia":true,"level":"30","regular":false,"shortTitle":"How to Make Lines and Planes in GeoGebra"},{"hasEncyclopedia":true,"level":"31","regular":false,"shortTitle":"Find Angles Between Objects in Space with GeoGebra"},{"hasEncyclopedia":true,"level":"32","regular":false,"shortTitle":"How to Find Distance in GeoGebra"},{"hasEncyclopedia":true,"level":"33","regular":false,"shortTitle":"How to Make a Sphere in GeoGebra"},{"hasEncyclopedia":true,"level":"34","regular":false,"shortTitle":"How to Find Intersection in GeoGebra"},{"hasEncyclopedia":true,"level":"35","regular":false,"shortTitle":"Completing the Square Using GeoGebra"},{"hasEncyclopedia":true,"level":"36","regular":false,"shortTitle":"How to Solve an Equation in GeoGebra"},{"hasEncyclopedia":true,"level":"37","regular":false,"shortTitle":"How to Solve Systems of Equations in GeoGebra"},{"hasEncyclopedia":true,"level":"38","regular":false,"shortTitle":"Solve Multivariate Systems of Equations in GeoGebra"},{"hasEncyclopedia":true,"level":"39","regular":false,"shortTitle":"How to Solve Inequalities in GeoGebra"},{"hasEncyclopedia":true,"level":"40","regular":false,"shortTitle":"How to Compute Logarithms in GeoGebra"},{"hasEncyclopedia":true,"level":"41","regular":false,"shortTitle":"Figures, Perimeter (Circumference) and Area in GeoGebra"},{"hasEncyclopedia":true,"level":"42","regular":false,"shortTitle":"How to Draw Loci with GeoGebra"},{"hasEncyclopedia":true,"level":"43","regular":false,"shortTitle":"Check If Two Figures are Congruent Using GeoGebra"},{"hasEncyclopedia":true,"level":"44","regular":false,"shortTitle":"How to Find Circumcircle and Circumcenter with GeoGebra"},{"hasEncyclopedia":true,"level":"45","regular":false,"shortTitle":"How to Find Incircle and Incenter Using GeoGebra"},{"hasEncyclopedia":true,"level":"46","regular":false,"shortTitle":"How to Find Centroid and Medians with GeoGebra"},{"hasEncyclopedia":true,"level":"47","regular":false,"shortTitle":"How to Find Orthocenter and Altitudes with GeoGebra"},{"hasEncyclopedia":true,"level":"48","regular":false,"shortTitle":"How to Find the Euler Line of a Triangle in GeoGebra"},{"hasEncyclopedia":true,"level":"49","regular":false,"shortTitle":"How to Make a Circle in GeoGebra"},{"hasEncyclopedia":true,"level":"50","regular":false,"shortTitle":"How to Graph Circles of Apollonius in GeoGebra"},{"hasEncyclopedia":true,"level":"51","regular":false,"shortTitle":"How to Study the Power of a Point Theorem with GeoGebra"},{"hasEncyclopedia":true,"level":"52","regular":false,"shortTitle":"How to Graph an Ellipse in GeoGebra"},{"hasEncyclopedia":true,"level":"53","regular":false,"shortTitle":"Translation of Figures in GeoGebra"},{"hasEncyclopedia":true,"level":"54","regular":false,"shortTitle":"Constructing Parallels in GeoGebra"},{"hasEncyclopedia":true,"level":"55","regular":false,"shortTitle":"Constructing a Parallel through a Point in GeoGebra"},{"hasEncyclopedia":true,"level":"56","regular":false,"shortTitle":"How to Do a Reflection in GeoGebra"},{"hasEncyclopedia":true,"level":"57","regular":false,"shortTitle":"Constructing the Tangents to a Circle in GeoGebra"},{"hasEncyclopedia":true,"level":"58","regular":false,"shortTitle":"How to Create an Angle in GeoGebra"},{"hasEncyclopedia":true,"level":"59","regular":false,"shortTitle":"How to Construct Supplementary Angles in GeoGebra"},{"hasEncyclopedia":true,"level":"60","regular":false,"shortTitle":"How to Check if Two Angles are Equal with GeoGebra"},{"hasEncyclopedia":true,"level":"61","regular":false,"shortTitle":"Inscribed and Central Angles in GeoGebra"},{"hasEncyclopedia":true,"level":"62","regular":false,"shortTitle":"How to Rotate a Figure in GeoGebra"},{"hasEncyclopedia":true,"level":"63","regular":false,"shortTitle":"Constructing the Normal Through a Point in GeoGebra"},{"hasEncyclopedia":true,"level":"64","regular":false,"shortTitle":"How to Construct a Perpendicular Bisector in GeoGebra"},{"hasEncyclopedia":true,"level":"65","regular":false,"shortTitle":"How to Construct an Angle Bisector in GeoGebra"},{"hasEncyclopedia":true,"level":"66","regular":false,"shortTitle":"How to Make a Polyhedron in GeoGebra"},{"hasEncyclopedia":true,"level":"67","regular":false,"shortTitle":"How to Draw Prisms in GeoGebra"},{"hasEncyclopedia":true,"level":"68","regular":false,"shortTitle":"How to Draw Cylinders in GeoGebra"},{"hasEncyclopedia":true,"level":"69","regular":false,"shortTitle":"How to Make Pyramids in GeoGebra"},{"hasEncyclopedia":true,"level":"70","regular":false,"shortTitle":"How to Make a Cone in GeoGebra"},{"hasEncyclopedia":true,"level":"71","regular":false,"shortTitle":"How to Make a Sphere in GeoGebra"},{"hasEncyclopedia":true,"level":"72","regular":false,"shortTitle":"Surface Area and Volume of Solid Figures in GeoGebra"},{"hasEncyclopedia":true,"level":"73","regular":false,"shortTitle":"How to Make a Unit Circle in GeoGebra"},{"hasEncyclopedia":true,"level":"74","regular":false,"shortTitle":"How to Use Trigonometric Functions in GeoGebra"},{"hasEncyclopedia":true,"level":"75","regular":false,"shortTitle":"Calculate with the Law of Sines and Cosines in GeoGebra"},{"hasEncyclopedia":true,"level":"76","regular":false,"shortTitle":"How to Solve Trigonometric Equations in GeoGebra"},{"hasEncyclopedia":true,"level":"77","regular":false,"shortTitle":"How to Graph a Trigonometric Function in GeoGebra"},{"hasEncyclopedia":true,"level":"78","regular":false,"shortTitle":"Transforming into a Harmonic Oscillator in GeoGebra"},{"hasEncyclopedia":true,"level":"79","regular":false,"shortTitle":"Perspective Drawing in GeoGebra"},{"hasEncyclopedia":true,"level":"80","regular":false,"shortTitle":"How to Make a Frequency Table with GeoGebra"},{"hasEncyclopedia":true,"level":"81","regular":false,"shortTitle":"How to Make a Bar Chart with GeoGebra"},{"hasEncyclopedia":true,"level":"82","regular":false,"shortTitle":"How to Make a Pie Chart with GeoGebra"},{"hasEncyclopedia":true,"level":"83","regular":false,"shortTitle":"How to Make a Line Chart with GeoGebra"},{"hasEncyclopedia":true,"level":"84","regular":false,"shortTitle":"How to Make a Box Plot with GeoGebra"},{"hasEncyclopedia":true,"level":"85","regular":false,"shortTitle":"How to Make a Histogram with GeoGebra"},{"hasEncyclopedia":true,"level":"86","regular":false,"shortTitle":"How to Calculate Central Tendencies with GeoGebra"},{"hasEncyclopedia":true,"level":"87","regular":false,"shortTitle":"Relative Frequency and Law of Large Numbers in GeoGebra"},{"hasEncyclopedia":true,"level":"88","regular":false,"shortTitle":"Compute Permutations and Combinations in GeoGebra"},{"hasEncyclopedia":true,"level":"89","regular":false,"shortTitle":"How to Use GeoGebra as Binomial Distribution Calculator"},{"hasEncyclopedia":true,"level":"90","regular":false,"shortTitle":"Hypergeometric Distribution Calculator in GeoGebra"},{"hasEncyclopedia":true,"level":"91","regular":false,"shortTitle":"How to Use GeoGebra as a Normal Distribution Calculator"},{"hasEncyclopedia":true,"level":"92","regular":false,"shortTitle":"Hypothesis Testing of Binomial Distribution in GeoGebra"},{"hasEncyclopedia":true,"level":"93","regular":false,"shortTitle":"Hypothesis Testing with Normal Distribution in GeoGebra"},{"hasEncyclopedia":true,"level":"94","regular":false,"shortTitle":"How to Graph a Function in GeoGebra"},{"hasEncyclopedia":true,"level":"95","regular":false,"shortTitle":"How to Find Domain and Range of a Function in GeoGebra"},{"hasEncyclopedia":true,"level":"96","regular":false,"shortTitle":"How to Find Intersection with the Axes in GeoGebra"},{"hasEncyclopedia":true,"level":"97","regular":false,"shortTitle":"How to Find Intersection Between Graphs in GeoGebra"},{"hasEncyclopedia":true,"level":"98","regular":false,"shortTitle":"How to Find the Zeros of a Function in GeoGebra"},{"hasEncyclopedia":true,"level":"99","regular":false,"shortTitle":"How to Show Asymptotes in GeoGebra"},{"hasEncyclopedia":true,"level":"100","regular":false,"shortTitle":"How to Draw a Tangent to a Curve in GeoGebra"},{"hasEncyclopedia":true,"level":"101","regular":false,"shortTitle":"How to Animate Instantaneous Rate of Change in GeoGebra"},{"hasEncyclopedia":true,"level":"102","regular":false,"shortTitle":"How to Calculate Limits of Functions Using GeoGebra"},{"hasEncyclopedia":true,"level":"103","regular":false,"shortTitle":"How to Find the Derivative of a Function in GeoGebra"},{"hasEncyclopedia":true,"level":"104","regular":false,"shortTitle":"How to Find Stationary Points in GeoGebra"},{"hasEncyclopedia":true,"level":"105","regular":false,"shortTitle":"How to Find Inflection Points in GeoGebra"},{"hasEncyclopedia":true,"level":"106","regular":false,"shortTitle":"How to Use Integral in GeoGebra"},{"hasEncyclopedia":true,"level":"107","regular":false,"shortTitle":"How to Find the Area Under a Graph Using GeoGebra"},{"hasEncyclopedia":true,"level":"108","regular":false,"shortTitle":"How to Find the Area Between Graphs Using GeoGebra"},{"hasEncyclopedia":true,"level":"109","regular":false,"shortTitle":"How to Find Solid of Revolution in GeoGebra"},{"hasEncyclopedia":true,"level":"110","regular":false,"shortTitle":"Integral Curves and Direction Fields in GeoGebra"},{"hasEncyclopedia":true,"level":"111","regular":false,"shortTitle":"How to Write a Differential Equation in GeoGebra"},{"hasEncyclopedia":true,"level":"112","regular":false,"shortTitle":"How to Do Regression in GeoGebra"},{"hasEncyclopedia":true,"level":"113","regular":false,"shortTitle":"How to Solve Linear Optimization Problems with GeoGebra"}],"levelActivities":{"1":0,"2":0,"3":0,"4":0,"5":0,"6":0,"7":0,"8":0,"9":0,"10":0,"11":0,"12":0,"13":0,"14":0,"15":0,"16":0,"17":0,"18":0,"19":0,"20":0,"21":0,"22":0,"23":0,"24":0,"25":0,"26":0,"27":0,"28":0,"29":0,"30":0,"31":0,"32":0,"33":0,"34":0,"35":0,"36":0,"37":0,"38":0,"39":0,"40":0,"41":0,"42":0,"43":0,"44":0,"45":0,"46":0,"47":0,"48":0,"49":0,"50":0,"51":0,"52":0,"53":0,"54":0,"55":0,"56":0,"57":0,"58":0,"59":0,"60":0,"61":0,"62":0,"63":0,"64":0,"65":0,"66":0,"67":0,"68":0,"69":0,"70":0,"71":0,"72":0,"73":0,"74":0,"75":0,"76":0,"77":0,"78":0,"79":0,"80":0,"81":0,"82":0,"83":0,"84":0,"85":0,"86":0,"87":0,"88":0,"89":0,"90":0,"91":0,"92":0,"93":0,"94":0,"95":0,"96":0,"97":0,"98":0,"99":0,"100":0,"101":0,"102":0,"103":0,"104":0,"105":0,"106":0,"107":0,"108":0,"109":0,"110":0,"111":0,"112":0,"113":0},"badgeImage":{"alt":"","srcKey":""},"badgeOutlineImage":{"alt":"","srcKey":""},"color":{"gradientClass":"bg-task-numbers-gradient","bgClass":"bg-orchid-dark","secondaryBgClass":"bg-orchid-dark","checkedBgClass":"checked:bg-orchid-dark","textClass":"text-orchid-dark","hex":"#A840C8","borderClass":"border-orchid-dark","outlineClass":"outline-numbers","ringClass":"ring-orchid-dark","shadowBorderClass":"border-violet-darker","shadowClass":"shadow-task-purple"}},"bootcampQuiz":{"bootcampKey":null,"subtopic":null,"startTime":null,"totalQuestions":0,"completedQuestions":0,"wrongAnswer":0,"bossHealth":100,"damagePlayer":false,"maxWrongAnswer":0,"questions":[],"mathEnergyEarned":0,"badgeImage":{"alt":"Special Trophy","srcKey":"bootcamp/bootcamp_module_list_trophy_logo.png"},"bossBattleEnemy":{"avatarGLBFilePath":"","avatarImagePath":{"alt":"","srcKey":""},"dragonId":0},"hasStartedQuiz":false,"bossCurrentBehavior":null,"bossIsBusy":false,"bossDamageAmount":0,"bossResponse":{"state":"ready","anim":null},"bossSound":"unmute"},"cart":{"tutorForOther":[{"levelsOfEducation":["grade-11-to-13"],"product":null,"subjects":["math"],"includeTravelExpense":false,"location":"online","email":"","emailVerify":"","firstName":"","lastName":"","uuid":"32ffd910-5060-4942-8081-ae813f4057dd"}],"tutorForSelf":{"levelsOfEducation":["grade-11-to-13"],"product":null,"subjects":["math"],"includeTravelExpense":false,"location":"online"},"videoChat":{"levelsOfEducation":["grade-11-to-13"],"product":null,"subjects":["math"],"dateAsTimestamp":null,"needHelpWith":"","scheduleAt":null},"bookingForSelfFormErrors":{}},"chat":{"isChatOpen":false,"openThreadId":null,"prevThreadId":null,"threadPos":null,"newMessage":"","transitionDidFinish":true,"showChatInfoBox":true,"chatNotification":false,"lastMessage":"","lastMessageSentAt":null},"chatAi":{"isLoading":false,"stopMessage":false,"isShowingChatInitialModal":false,"isChatAiOpen":false,"isHintMessage":false,"chatAiConsent":false,"threadMessages":[],"currentMessage":{},"modalPosition":{"x":150,"y":205,"width":930,"height":550,"minWidth":420,"minHeight":350,"disableDragging":false,"disableResizing":false,"padding":72,"messageWidth":730,"windowWidth":0,"windowHeight":0,"isInitialized":false},"errorMessageType":null,"threadId":"4a0ad9ad-a8db-476d-9368-780991fd07ff","imageModal":{"isImageModalOpen":false,"image":""}},"checkout":{},"dashboard":{"isTabToggled":true,"scrollToQuest":false,"highlightedItem":null,"isNavigateToLearningPath":false,"chestAnimation":false,"tutorial":{"product":"","tutorialStep":0,"shouldShowTutorial":false,"shouldShowLearningPathTutorial":false},"scrollToActivityLearningPath":false,"openChecklist":false,"selectedGrade":"","subjectOrder":"","achievementPagePreviousUrl":"/dashboard","stepTwoExpanded":[]},"dropdownMenu":{"menuToClose":null,"menuToOpen":null},"employee":{"fields":{"employees":[],"categories":[]},"errors":{"employees":"","categories":""},"backendError":""},"gamification":{"notification":false,"isNotificationListOpen":false,"gems":0,"rewardsCount":{"initial":0,"collected":0,"available":0},"nextBootcampPage":{"currentActivityType":0},"hasFetchedEvents":false,"hasLeveledUp":false,"hasLoggedOut":false,"fromRetakeQuiz":false,"showHomebaseClosingX":true,"showShopButton":true,"isQuizFinished":false,"hasShownLeaderboardModal":false},"gemShop":{"isShowingGemShop":false,"didPurchase":false,"isLocked":false},"homebase":{"homebaseIsOpen":false,"scrollToBase":false,"isBadgeReady":false,"showingBadgeCollection":false},"login":{"fields":{"email":"","password":""},"errors":{"email":"","password":""},"backendError":"","loginScenario":"default","simpleUserProfile":{},"view":"default"},"recaptcha":{"captcha":{"challenge":"","answer":""},"authType":null},"homebaseQuiz":{"quizState":[],"advancedSubjects":{"articles":[],"question":""},"quizView":"INITIAL","completedQuizes":0},"mathVault":{"currentScreen":"activity","answerState":"pending","levelsSummary":{},"currentQuestionSummary":{"livesLeft":2,"questionNo":null,"numberOfTries":-1,"numberOfFailures":-1,"firstPassOnTryNo":-1,"passed":false},"selectedAnswer":null,"currentLocation":{"room":"OUTSIDE_VAULT","chest":null},"kudosEarned":0,"showLogInOverlay":false,"answerBeforeLogIn":{"metadata":null,"nextActivityPath":null},"server":{"activity":{"_id":"","metadata":{"language":"en","chest":"","tab":1,"elevator":"","room":"","metaDescription":"","keywords":"","globalId":"","activityNumber":1,"roomColor":"purple","numberOfTabs":6,"numberOfActivities":10,"reference":"","references":[],"title":"","points":0,"tabsActivity":[],"columnLayout":"one-column"},"question":[],"alternatives":[],"shouldShuffle":false}},"loading":false,"streak":-1,"navigations":{"prevLevel":1,"prevActivity":1,"nextLevel":1,"nextActivity":1},"pickedEgg":false,"pickedTempEgg":false},"menu":{"menuIsOpen":false,"menuIsExpanded":false,"hideHorizontalMenu":false,"horizontalMenuHeight":0,"showAllLearningTools":false,"showAllGames":false},"multipleChoiceTest":{"activeQuestion":{"index":0,"didAnswer":false,"didAnswerCorrectly":false,"selectedOption":null},"executeGemstoneAnimation":false,"questionsState":null,"view":"quiz"},"onboarding":{"chosenAccountType":null,"details":{"nickname":"","email":"","birthYear":null,"country":"","wantsNewsletter":false,"skill":null},"errors":{"nickname":"","email":"","birthYear":"","country":"","wantsNewsletter":"","skill":""},"progress":0,"showHomMethods":false},"petState":{"petState":{"eggState":0,"dragonPresent":false,"eggChosen":null,"tempEggChosen":null,"name":"Mathagon","level":0,"dragonRank":0,"lifeLength":0,"stillHatching":true,"kudosOrbs":0,"totalMathEnergy":0,"totalAffection":0,"currentMathEnergyLevel":0,"currentAffectionLevel":50,"lastTimeStamp":0,"hatchingCooldown":0,"hatchingEnergyCooldown":[0,0,0,0,0],"tricksLearned":[],"currentTrickLearning":null,"currentTrickProgress":0,"trickLearningCooldown":0}},"quest":{"questState":{"questName":"","questRewards":{"kudos":0,"gems":0,"xp":0},"showCompletedQuestModal":false},"isNewQuest":false,"clickedQuest":"","resize":false,"skipingToBoss":false},"order":{},"scheduleSession":{"info":{"location":""},"time":{"startHours":0,"startMinutes":0,"endHours":0,"endMinutes":0}},"search":{"currentQuery":"","historyOfQueries":[],"isModalOpen":false,"hasSearchBar":false},"paywall":{"returnPath":"/dashboard"},"statistics":{"showNicknameOverlay":false,"learningStatsFilter":{"timeFilter":"all-time","productCategoryFilter":"all"},"rewardsStatsFilter":"all-time","productCardTimeFilter":"last-30-days","productCardFilterOptions":[]},"storyCard":{"id":null},"adminSubscription":{"stripeProductId":"","stripePriceId":"","country":"","trialPeriodDays":0,"isDefault":false,"paymentGateways":[]},"theory":{"displayMultipleChoiceTest":false},"ui":{"previewSite":false},"modals":{"showFeedbackModal":false,"showSubscriptionActivityModal":false,"hasPurchaseTutoringPackages":false,"showAndroidAppModal":false,"showBurnZoneModal":false},"donation":{"donationDetails":{"donationAmount":0,"donationCurrency":"usd","donationType":"one-time"},"donationDetailsErrors":{"donationAmount":"","donationCurrency":"","donationType":""}},"userFeedback":{"rating":null,"product":null,"showUserFeedbackModal":false,"comment":""},"notificationApi":{"queries":{},"mutations":{},"provided":{},"subscriptions":{},"config":{"online":true,"focused":true,"middlewareRegistered":true,"refetchOnFocus":false,"refetchOnReconnect":false,"refetchOnMountOrArgChange":false,"keepUnusedDataFor":60,"reducerPath":"notificationApi"}},"homApi":{"queries":{},"mutations":{},"provided":{},"subscriptions":{},"config":{"online":true,"focused":true,"middlewareRegistered":true,"refetchOnFocus":false,"refetchOnReconnect":false,"refetchOnMountOrArgChange":5,"keepUnusedDataFor":1,"reducerPath":"homApi"}},"soundControl":{"muted":false,"volume":1},"blogApi":{"queries":{},"mutations":{},"provided":{},"subscriptions":{},"config":{"online":true,"focused":true,"middlewareRegistered":true,"refetchOnFocus":false,"refetchOnReconnect":false,"refetchOnMountOrArgChange":false,"keepUnusedDataFor":60,"reducerPath":"blogApi"}},"tutorOnDemandApi":{"queries":{},"mutations":{},"provided":{},"subscriptions":{},"config":{"online":true,"focused":true,"middlewareRegistered":true,"refetchOnFocus":false,"refetchOnReconnect":false,"refetchOnMountOrArgChange":true,"keepUnusedDataFor":60,"reducerPath":"tutorOnDemandApi"}},"staticPageApi":{"queries":{},"mutations":{},"provided":{},"subscriptions":{},"config":{"online":true,"focused":true,"middlewareRegistered":true,"refetchOnFocus":false,"refetchOnReconnect":false,"refetchOnMountOrArgChange":false,"keepUnusedDataFor":60,"reducerPath":"staticPageApi"}},"activityApi":{"queries":{},"mutations":{},"provided":{},"subscriptions":{},"config":{"online":true,"focused":true,"middlewareRegistered":true,"refetchOnFocus":false,"refetchOnReconnect":false,"refetchOnMountOrArgChange":false,"keepUnusedDataFor":60,"reducerPath":"activityApi"}},"bootcampApi":{"queries":{},"mutations":{},"provided":{},"subscriptions":{},"config":{"online":true,"focused":true,"middlewareRegistered":true,"refetchOnFocus":false,"refetchOnReconnect":false,"refetchOnMountOrArgChange":false,"keepUnusedDataFor":60,"reducerPath":"bootcampApi"}},"craneGameApi":{"queries":{},"mutations":{},"provided":{},"subscriptions":{},"config":{"online":true,"focused":true,"middlewareRegistered":true,"refetchOnFocus":false,"refetchOnReconnect":false,"refetchOnMountOrArgChange":false,"keepUnusedDataFor":60,"reducerPath":"craneGameApi"}},"rewardApi":{"queries":{},"mutations":{},"provided":{},"subscriptions":{},"config":{"online":true,"focused":true,"middlewareRegistered":true,"refetchOnFocus":false,"refetchOnReconnect":false,"refetchOnMountOrArgChange":false,"keepUnusedDataFor":60,"reducerPath":"rewardApi"}},"dragonApi":{"queries":{},"mutations":{},"provided":{},"subscriptions":{},"config":{"online":true,"focused":true,"middlewareRegistered":true,"refetchOnFocus":false,"refetchOnReconnect":false,"refetchOnMountOrArgChange":false,"keepUnusedDataFor":60,"reducerPath":"dragonApi"}},"gemShopApi":{"queries":{},"mutations":{},"provided":{},"subscriptions":{},"config":{"online":true,"focused":true,"middlewareRegistered":true,"refetchOnFocus":false,"refetchOnReconnect":false,"refetchOnMountOrArgChange":false,"keepUnusedDataFor":60,"reducerPath":"gemShopApi"}},"usersCountApi":{"queries":{},"mutations":{},"provided":{},"subscriptions":{},"config":{"online":true,"focused":true,"middlewareRegistered":true,"refetchOnFocus":false,"refetchOnReconnect":false,"refetchOnMountOrArgChange":false,"keepUnusedDataFor":60,"reducerPath":"usersCountApi"}},"mathVaultActivityApi":{"queries":{},"mutations":{},"provided":{},"subscriptions":{},"config":{"online":true,"focused":true,"middlewareRegistered":true,"refetchOnFocus":false,"refetchOnReconnect":false,"refetchOnMountOrArgChange":false,"keepUnusedDataFor":60,"reducerPath":"mathVaultActivityApi"}},"mediaApi":{"queries":{},"mutations":{},"provided":{},"subscriptions":{},"config":{"online":true,"focused":true,"middlewareRegistered":true,"refetchOnFocus":false,"refetchOnReconnect":false,"refetchOnMountOrArgChange":false,"keepUnusedDataFor":60,"reducerPath":"mediaApi"}},"adminApi":{"queries":{},"mutations":{},"provided":{},"subscriptions":{},"config":{"online":true,"focused":true,"middlewareRegistered":true,"refetchOnFocus":false,"refetchOnReconnect":false,"refetchOnMountOrArgChange":true,"keepUnusedDataFor":1,"reducerPath":"adminApi"}},"multipleChoiceTestApi":{"queries":{},"mutations":{},"provided":{},"subscriptions":{},"config":{"online":true,"focused":true,"middlewareRegistered":true,"refetchOnFocus":false,"refetchOnReconnect":false,"refetchOnMountOrArgChange":false,"keepUnusedDataFor":60,"reducerPath":"multipleChoiceTestApi"}},"questApi":{"queries":{},"mutations":{},"provided":{},"subscriptions":{},"config":{"online":true,"focused":true,"middlewareRegistered":true,"refetchOnFocus":false,"refetchOnReconnect":false,"refetchOnMountOrArgChange":false,"keepUnusedDataFor":60,"reducerPath":"questApi"}},"studytipsApi":{"queries":{},"mutations":{},"provided":{},"subscriptions":{},"config":{"online":true,"focused":true,"middlewareRegistered":true,"refetchOnFocus":false,"refetchOnReconnect":false,"refetchOnMountOrArgChange":false,"keepUnusedDataFor":60,"reducerPath":"studytipsApi"}},"settings":{"errors":{},"fields":{"email":"","nickname":"","country":"","curriculum":"","birthYear":"","wantsNewsletter":false,"userType":"","skill":"","yearsInSchool":"","gradeLevelId":"","currPassword":"","newPassword":"","newPasswordConfirm":"","phone":""},"serverError":null,"isServerErrorInNicknameTab":null,"tab":null},"activitiesApi":{"queries":{},"mutations":{},"provided":{},"subscriptions":{},"config":{"online":true,"focused":true,"middlewareRegistered":true,"refetchOnFocus":false,"refetchOnReconnect":false,"refetchOnMountOrArgChange":false,"keepUnusedDataFor":60,"reducerPath":"activitiesApi"}},"collectionApi":{"queries":{},"mutations":{},"provided":{},"subscriptions":{},"config":{"online":true,"focused":true,"middlewareRegistered":true,"refetchOnFocus":false,"refetchOnReconnect":false,"refetchOnMountOrArgChange":false,"keepUnusedDataFor":60,"reducerPath":"collectionApi"}},"curriculumUserStatApi":{"queries":{},"mutations":{},"provided":{},"subscriptions":{},"config":{"online":true,"focused":true,"middlewareRegistered":true,"refetchOnFocus":false,"refetchOnReconnect":false,"refetchOnMountOrArgChange":false,"keepUnusedDataFor":60,"reducerPath":"curriculumUserStatApi"}},"checklist":{"rewardFeature":null,"featureImage":null},"curriculum":{"gradeListByCountry":[],"gradeContent":{"gradeLevel":0,"gradeLabel":"","title":"","isJuniorMathGrade":false,"hasSubdivision":false,"gradeSubdivisions":[]},"curriculumSubjectContent":{"topicId":"","subjectLabel":"","subjectOrder":0,"subjectUrl":"","isFirstVisit":false,"competencyGoals":[]},"lastActivity":{"curriculumLevelId":"","quarterNo":0,"gradeLevel":0},"curriculumChangeLoading":false,"curriculumMappingQuizQuestion":{"questionId":"","quizId":"","slug":"","title":"","description":[],"isLastQuestion":false,"isQuizComplete":false},"curriculumMappingQuizCompleted":false,"menuCurriculumDropdownExpanded":false,"gradePageCurriculumDropdownExpanded":false,"curriculumChangeWarning":false,"lockRedirection":false,"prerequisiteChestClicked":false,"pathToSubjectCurriculum":"/curriculum/onboarding/learning"},"persistCurriculum":{"activeCompetencyList":[],"scrollItemId":""}}