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### Topics

• Equations
• Vectors
• Vector Components

### Description

Experiment with vector equations and compare vector sums and differences. Customize the base vectors or explore scalar multiplication by adjusting the coefficients in equation. Specify vectors in Cartesian or polar coordinates, and view the magnitude, angle, and components of each vector.

### Sample Learning Goals

• Describe what happens to a vector when it is multiplied by a scalar
• Arrange vectors graphically to represent vector addition or subtraction
• Compare the outcomes of each vector equation

### Standards Alignment

#### Common Core - Math

HSN-VM.B.4c
Understand vector subtraction v - w as v + (-w), where -w is the additive inverse of w, with the same magnitude as w and pointing in the opposite direction. Represent vector subtraction graphically by connecting the tips in the appropriate order, and perform vector subtraction component-wise.
HSN-VM.B.5
(+) Multiply a vector by a scalar.
HSN-VM.B.5a
Represent scalar multiplication graphically by scaling vectors and possibly reversing their direction; perform scalar multiplication component-wise, e.g., as c(vx, vy) = (cvx, cvy).
HSN-VM.B.5b
Compute the magnitude of a scalar multiple cv using ||cv|| = |c|v. Compute the direction of cv knowing that when |c|v ≠ 0, the direction of cv is either along v (for c > 0) or against v (for c < 0).
Version 1.0.0

### Teacher Tips

 Overview of sim controls, model simplifications, and insights into student thinking ( PDF ).

### Teacher-Submitted Activities

UG-Intro
Remote
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Physics
HS
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HW
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Physics
HS
UG-Intro
HW
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Physics
equilibrium of forces tahani sarayreh UG-Intro
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Physics
PREPARATORIA: Alineación de PhET con programas de la DGB México (2017) Diana López HS
UG-Intro
Other Physics
Chemistry
Mathematics
Guia do Estudante - Encontre o Vetor Resultante RONIVAN SOUSA DA SILVA SUTTINI MS
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Albanian All shqip Mbledhja me vektorë: Barazimet
Basque All Euskara Bektore-batuketa: ekuazioak
Bosnian All Bosanski Sabiranje vektora: Jednačine
Chinese (Simplified) All 中文 (中国) 向量的和：等式
Croatian All hrvatski Zbrajanje vektora: jednadžbe
Dutch All Nederlands Optellen van vectoren: vergelijkingen
French All français Addition de Vecteurs: Equations
German All Deutsch Vektor Addition: Gleichungen
Greek All Ελληνικά Προσθήκη διανυσμάτων: Εξισώσεις
Hebrew All עברית חיבור וקטורים: משוואות
Italian All italiano Somma vettoriale: equazioni
Japanese All 日本語 ベクトル加算：方程式
Kazakh All Kazakh Векторларды қосу: Теңдеулер
Korean All 한국어 벡터 더하기: 방정식
Latvian All Latviešu Vektoru saskaitīšana: Vienādojumi
Mongolian All Монгол (Монгол) Векторын Нийлбэр: Томъёо
Persian All فارسی جمع بردار: معادلات
Polish All polski Dodawanie wektorów: równania
Portuguese (Brazil) All português (Brasil) Adição de Vetores: Equações
Russian All русский Сложение векторов: Уравнения
Serbian All Српски Сабирање вектора: Једначине
Slovak All Slovenčina Skladanie vektorov: rovnice
Spanish All español Adición de Vectores: Ecuaciones
Spanish (Mexico) All español (México) Adición de Vectores: Ecuaciones
Spanish (Peru) All español (Perú) Adición de Vectores: Ecuaciones
Telugu All Telugu సదిశల సంకలనం: సమీకరణాలు; అనువాదం: ఉడిత్యాల రమణ
Turkish All Türkçe Vektör Ekleme: Denklemler
Ukrainian All українська Додавання векторів. Рівняння
Vietnamese All Tiếng Việt Cộng Vector: phương trình

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Design Team Third-party Libraries Thanks To
• Brandon Li (developer)
• Chris Malley (developer)
• Martin Veillette (developer)
• Michael Dubson (original designer)
• Diana López Tavares
• Amanda McGarry
• Ariel Paul
• Kathy Perkins
• almond-0.2.9.js
• base64-js-1.2.0.js
• FileSaver-b8054a2.js
• font-awesome-4.5.0
• game-up-camera-1.0.0.js
• he-1.1.1.js
• himalaya-0.2.7.js
• jama-1.0.2
• jquery-2.1.0.js
• lodash-4.17.4.js
• pegjs-0.7.0.js
• seedrandom-2.4.2.js
• text-2.0.12.js
• TextEncoderLite-3c9f6f0.js