Vector Addition: Equations

Vector Addition: Equations Screenshot  Download  Embed
  • 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

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Language Download or Run Tips
Albanian All shqip Download Run now Mbledhja me vektorë: Barazimet
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Bosnian All Bosanski Download Run now Sabiranje vektora: Jednačine
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
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Italian All italiano Download Run now Somma vettoriale: equazioni
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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
Persian All فارسی Download Run now جمع بردار: معادلات
Polish All polski Download Run now Dodawanie wektorów: równania
Portuguese (Brazil) All português (Brasil) Download Run now Adição de Vetores: Equações
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 Download teacher tips PDF
Spanish (Mexico) All español (México) Download Run now Adición de Vectores: Ecuaciones Download teacher tips PDF
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 Download teacher tips PDF
Vietnamese All Tiếng Việt Download Run now Cộng Vector: phương trình

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iPad compatible sims

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

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