Vector Addition

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Vector Addition وێنه‌ی شاشه‌  دابه‌زێن  Embed
  • نوانه‌‌کان
  • پێکهێنه‌ره‌کانی نوانه‌
  • کۆکردنه‌وه‌ی نوانه‌یی
Flash Logo Original Sim and Translations

ناوه‌ڕۆک

  • نوانه‌‌کان
  • پێکهێنه‌ره‌کانی نوانه‌
  • کۆکردنه‌وه‌ی نوانه‌یی
  • Equations

Description

Explore vectors in 1D or 2D, and discover how vectors add together. Specify vectors in Cartesian or polar coordinates, and see the magnitude, angle, and components of each vector. Experiment with vector equations and compare vector sums and differences.

Sample Learning Goals

  • Describe a vector in your own words
  • Explain a method to add vectors
  • Compare and contrast the component styles
  • Decompose a vector into components
  • Describe what happens to a vector when it is multiplied by a scalar
  • Arrange vectors graphically to represent vector addition or subtraction

Standards Alignment

Common Core - Math

HSN-VM.A.1
(+) Recognize vector quantities as having both magnitude and direction. Represent vector quantities by directed line segments, and use appropriate symbols for vectors and their magnitudes (e.g., v, |v|, ||v||, v).
HSN-VM.A.2
(+) Find the components of a vector by subtracting the coordinates of an initial point from the coordinates of a terminal point.
HSN-VM.B.4
(+) Add and subtract vectors.
HSN-VM.B.4a
Add vectors end-to-end, component-wise, and by the parallelogram rule. Understand that the magnitude of a sum of two vectors is typically not the sum of the magnitudes.
HSN-VM.B.4b
Given two vectors in magnitude and direction form, determine the magnitude and direction of their sum.
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

Concept questions for Physics using PhET (Inquiry Based) A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. This contribution was designed by PhET. Trish Loeblein UG-Intro
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Algebra-based Physics Semester one lessons, clicker questions, and schedule in pdf (Inquiry Based) A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. This contribution was designed by PhET. Trish Loeblein HS
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Demo
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Vector Addition 1: Introduction to vector math (Inquiry Based) A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. This contribution was designed by PhET. Trish Loeblein UG-Intro
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Vector Addition 2: Understanding Force equilibrium (Inquiry Based) A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. This contribution was designed by PhET. Trish Loeblein HS
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Clases Demostrativas Interactivas (ILD) de Vectores A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. This contribution was designed by PhET. Diana López UG-Intro
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Discuss
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SECUNDARIA: Alineación PhET con programas de la SEP México (2011 y 2017) This contribution was designed by PhET. Diana López MS
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ژیناسی
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کیمیا
PREPARATORIA: Alineación de PhET con programas de la DGB México (2017) This contribution was designed by PhET. Diana López HS
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Adding Vectors Visually and Mathematically - Intro Jeremy smith UG-Intro
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فیزیا
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equilibrium of forces tahani sarayreh UG-Intro
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Forces at equilibrium Nawal Nayfeh HS
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فیزیا
Find The components of a vector Dr Akhlaq Ahmad HS HW
تاقیگه‌
بیرکاری
فیزیا
Addition of Vectors by its Components Dr Akhlaq Ahmad K-5
MS
HS
UG-Intro
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HW
فیزیا
Soma de Vetores Juciane1 Matrtins HS تاقیگه‌ فیزیا
Figuras y cuerpos geométricos. Andrés Gualberto Palomo Cuevas HS HW
Remote
بیرکاری
Guia de aprendizaje sobre vectores en simuladores jorge luis rodriguez acosta MS Guided بیرکاری
Reforzamiento de vectores Andrés Gualberto Palomo Cuevas HS تاقیگه‌ فیزیا

زوان Download or Run Tips
Albanian All shqip Download Run now Mbledhja e vektorëve
Azerbaijani All Azerbaijani Download Run now Vektorların toplanması
Basque All Euskara Download Run now Bektore-batuketa
Bosnian All Bosanski Download Run now Sabiranje vektora
Brazilian Portuguese All português (Brasil) Download Run now Adição de Vetores
Chinese - Simplified All 中文 (中国) Download Run now 向量相加
Chinese - Traditional All 中文 (台灣) Download Run now Vector Addition_向量的加法
Croatian All hrvatski Download Run now Zbrajanje vektora
Czech All čeština Download Run now Sčítání vektorů
Danish All Dansk Download Run now Vektor-addition
Dutch All Nederlands Download Run now Optellen van vectoren
French All français Download Run now Addition de vecteur 
German All Deutsch Download Run now Vektor Addition
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Korean All 한국어 Download Run now 벡터 더하기
Mongolian All Монгол (Монгол) Download Run now Векторын Нийлбэр
Norwegian Bokmal All Norsk bokmål Download Run now Vektorsum
Polish All polski Download Run now Dodawanie wektorów
Russian All русский Download Run now Сложение векторов
Serbian All Српски Download Run now Сабирање вектора
Slovak All Slovenčina Download Run now Skladanie vektorov
Spanish All español Download Run now Adición de Vectores
Spanish (Mexico) All español (México) Download Run now Adición de Vectores
Spanish (Peru) All español (Perú) Download Run now Adición de Vectores
Thai All ไทย Download Run now การรวมเวกเตอร์
Turkish All Türkçe Download Run now Vektör Ekleme
Ukrainian All українська Download Run now Додавання векторів
Vietnamese All Tiếng Việt Download Run now Cộng vector
فارسی All فارسی Download Run now جمع برداری

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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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