Vector Addition: Equations

Vector Addition: Equations Screenshot
  • Equations
  • Vectors
  • Vector Components

Topics

  • Equations
  • Vectors
  • Vector Components
  • Vector Addition

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

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

Teacher-Submitted Activities

equilibrium of forces tahani sarayreh UG-Intro
HS
Remote
Lab
Physics
PREPARATORIA: Alineación de PhET con programas de la DGB México (2017) This contribution was designed by PhET. Diana López UG-Intro
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Other Mathematics
Chemistry
Physics

Language Download or Run Tips
Albanian All shqip Run now Mbledhja me vektorë: Barazimet
Basque All Euskara Run now Bektore-batuketa: ekuazioak
Bosnian All Bosanski Run now Sabiranje vektora: Jednačine
Chinese (Simplified) All 中文 (中国) Run now 向量的和:等式
Chinese (Traditional) All 中文 (台灣) Run now Vector Addition: Equations_向量加法:方程式
Croatian All hrvatski Run now Zbrajanje vektora: jednadžbe
Danish All Dansk Run now Vektor-addition: Ligninger
Dutch All Nederlands Run now Optellen van vectoren: vergelijkingen
French All français Run now Addition de Vecteurs: Equations 
German All Deutsch Run now Vektor Addition: Gleichungen
Greek All Ελληνικά Run now Προσθήκη διανυσμάτων: Εξισώσεις
Hebrew All עברית Run now חיבור וקטורים: משוואות
Hungarian All magyar Run now Vektorösszeadás: egyenletek
Italian All italiano Run now Somma vettoriale: equazioni
Japanese All 日本語 Run now ベクトル加算:方程式
Kazakh All Kazakh Run now Векторларды қосу: Теңдеулер
Korean All 한국어 Run now 벡터 더하기: 방정식
Mongolian All Монгол (Монгол) Run now Векторын Нийлбэр: Томъёо
Persian All فارسی Run now جمع بردار: معادلات
Polish All polski Run now Dodawanie wektorów: równania
Portuguese (Brazil) All português (Brasil) Run now Adição de Vetores: Equações
Russian All русский Run now Сложение векторов: Уравнения
Serbian All Српски Run now Сабирање вектора: Једначине
Slovak All Slovenčina Run now Skladanie vektorov: rovnice
Spanish All español Run now Adición de Vectores: Ecuaciones Download teacher tips PDF
Spanish (Mexico) All español (México) Run now Adición de Vectores: Ecuaciones Download teacher tips PDF
Spanish (Peru) All español (Perú) Run now Adición de Vectores: Ecuaciones
Turkish All Türkçe Run now Vektör Ekleme: Denklemler
Ukrainian All українська Run now Додавання векторів. Рівняння Download teacher tips PDF
Vietnamese All Tiếng Việt Run now Cộng Vector: phương trình

HTML5 sims can run on iPads and Chromebooks, as well as PC, Mac, and Linux systems.

iPad:
iOS 12+ Safari
iPad compatible sims

Android:
Not officially supported. If you are using the HTML5 sims on Android, we recommend using the latest version of Google Chrome.

Chromebook:
Latest version of Google Chrome
The HTML5 and Flash PhET sims are supported on all Chromebooks.
Chromebook compatible sims

Windows Systems:
Microsoft Edge, latest version of Firefox, latest version of Google Chrome.

Macintosh Systems:
macOS 10.9.5+, Safari 9+, latest version of Chrome.

Linux Systems:
Not officially supported. Please contact phethelp@colorado.edu with troubleshooting issues.

Design Team Third-party Libraries Thanks To
  • Brandon Li (developer)
  • Chris Malley (developer)
  • Martin Veillette (developer)
  • Amy Rouinfar (lead designer)
  • Michael Dubson (original designer)
  • Diana López Tavares
  • Amanda McGarry
  • Ariel Paul
  • Kathy Perkins
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