Vector Addition: Equations

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Vector Addition: Equations وێنه‌ی شاشه‌  دابه‌زێن  Embed
  • Equations
  • نوانه‌‌کان
  • پێکهێنه‌ره‌کانی نوانه‌


  • Equations
  • نوانه‌‌کان
  • پێکهێنه‌ره‌کانی نوانه‌
  • کۆکردنه‌وه‌ی نوانه‌یی


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

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.
(+) Multiply a vector by a scalar.
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).
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

PREPARATORIA: Alineación de PhET con programas de la DGB México (2017) This contribution was designed by PhET. Diana López HS
دیکه‌ کیمیا
vectors Abdullah Ziad UG-Adv
vector addition omar khalid UG-Intro
Vector Addition Worksheet Awis Anadani HS
equilibrium of forces tahani sarayreh UG-Intro
Guia do Estudante - Encontre o Vetor Resultante RONIVAN SOUSA DA SILVA SUTTINI HS

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

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Design Team Third-party Libraries سوپاس بۆ
  • 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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