Vector Addition

Vector Addition Screenshot
  • Vectors
  • Vector Addition
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Topics

  • Vectors
  • Vector Addition

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.
Version 2.02

Teacher Tips

Download teacher tips PDF 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
HS
MC Physics
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 UG-Intro
HS
Lab
Demo
HW
Physics
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 HS
UG-Intro
Lab Mathematics
Physics
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
UG-Intro
Other Mathematics
Physics
How do PhET simulations fit in my middle school program? This contribution was designed by PhET. Sarah Borenstein MS Other Biology
Physics
Chemistry
Earth Science
PhET Sims Aligned to the Chemistry Curriculum This contribution was designed by PhET. Julia Chamberlain UG-Intro
HS
Other Chemistry
Forces at equilibrium Nawal Nayfeh UG-Intro
HS
Lab
Remote
Physics
Mapping of PhET and IBDP Physics Jaya Ramchandani HS Other Physics
MS and HS TEK to Sim Alignment Elyse Zimmer MS
HS
Other Physics
Biology
Chemistry
PhET Simulations Aligned for AP Physics C Roberta Tanner HS Other Physics
Virtual Vector Lab - Components & Trig Operations Jeremy Smith HS Lab Mathematics
Physics
Vector Tug-of-War Patrick Foley HS Guided
Lab
Mathematics
Physics
a problem Mohammad Alshahrani UG-Intro
HS
HW Physics
Mathematics
Vector Activity Amy Jordan HS Lab Physics
Kinematics Wang Yunhe HS Lab Physics
Vector Walk Duane Dolejsi UG-Intro
HS
Lab Physics
Mathematics
Vector Dot Product Sue Popelka HS Lab
Addition and Resolution of Vectors Chow CW HS
UG-Intro
Lab
HW
CQs
Physics
1 Dimensional Motion - Kinematics and Graphing Sarah Stanhope HS Lab
Force Vectors Peter Amato-von Hemert HS Lab Physics
Introduction to Vectors Katherine Frett HS Lab Mathematics
Physics
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
HS
Discuss
Demo
Physics
Vectoren optellen Bastiaan Vinke HS Guided Physics
Introductie vectorrekening Nathalie van der Weiden HS Guided
Lab
Physics
벡터 더하기 SIM 사용설명서 이화국(Wha Kuk Lee) UG-Intro
HS
Lab
HW
Demo
Mathematics
Physics
Soma Vetorial Diego Oliveira Silva, Gilvandenys Leite Sales MS
HS
Guided Mathematics
Physics
Practica de Vectores. walter Manuel Trujillo Yaipen Grad
UG-Intro
UG-Adv
Guided
Lab
HW
Physics

Language Download or Run Tips
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Basque All Euskara Run now Bektoreen batura
Bengali All Bengali Run now ভেক্টর যোগ
Bosnian All Bosanski Run now Sabiranje vektora
Catalan All català Run now Vector suma
Chinese (Simplified) All 中文 (中国) Run now 矢量叠加
Chinese (Traditional) All 中文 (台灣) Run now 向量加法
Croatian All hrvatski Run now Zbrajanje vektora
Czech All čeština Run now Sčítání vektorů
Danish All Dansk Run now Vektoraddition
Dutch All Nederlands Run now Optellen van Vectoren
Estonian All Eesti Run now Vektori lisamine
French All français Run now Addition de vecteurs
Galician All Gallegan Run now Suma de vectores
German All Deutsch Run now Vektoraddition
Greek All Ελληνικά Run now Πρόσθεση ανύσματος
Hebrew All עברית Run now חיבור וקטורים
Hungarian All magyar Run now Vektorösszeadás
Icelandic All íslenska Run now Samlagning vigra
Indonesian All Bahasa Indonesia Run now Penjumlahan Vektor
Italian All italiano Run now Composizione vettoriale
Japanese All 日本語 Run now ベクトルの加算
Kazakh All Kazakh Run now Векторлық қосу
Korean All 한국어 Run now 벡터 더하기
Kurdish (Turkey) All Kurdish (Turkey) Run now Lêzêdekirina Arastedaran
Latvian All Latviešu Run now Vektoru saskaitīšana
Macedonian All македонски Run now Собирање на вектори
Malay All Bahasa Melayu Run now Vektor Tambahan
Marathi All मराठी Run now सदिशांची बेरीज
Mongolian All Монгол (Монгол) Run now Векторыг Нэмэх
Norwegian Bokmal All Norsk bokmål Run now Vektoraddisjon
Norwegian Nynorsk All Norwegian Nynorsk Run now Addisjon av vektorar
Persian All فارسی Run now جمع بردار
Polish All polski Run now Dodawanie wektorów
Portuguese (Brazil) All português (Brasil) Run now Adição de Vetores
Russian All русский Run now Сложение векторов
Serbian All Српски Run now Сабирање вектора
Slovak All Slovenčina Run now Skladanie vektorov
Spanish All español Run now Adición de Vectores Download teacher tips PDF
Spanish (Mexico) All español (México) Run now Adición de Vectores Download teacher tips PDF
Spanish (Peru) All español (Perú) Run now Adición de Vectores
Swahili All Swahili Run now Mwelekeo mwingine
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Turkmen All Turkmen Run now Wektorlaryň goşulmagy
Vietnamese All Tiếng Việt Run now Cộng Vector

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Design Team Third-party Libraries Thanks To
  • Michael Dubson (developer/lead)
  • Interviewer: Mindy Gratny