Vector Addition

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  • Vectors
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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 HS
UG-Intro
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 HS
UG-Intro
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 UG-Intro
HS
Lab Physics
Mathematics
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 UG-Intro
HS
Other Physics
Mathematics
How do PhET simulations fit in my middle school program? This contribution was designed by PhET. Sarah Borenstein MS Other Chemistry
Physics
Biology
Earth Science
PhET Sims Aligned to the Chemistry Curriculum This contribution was designed by PhET. Julia Chamberlain HS
UG-Intro
Other Chemistry
Vectors Addition Ahmed S. Mahil HS
UG-Intro
UG-Adv
Lab
HW
Physics
vectors mahmoud ahmad abou daher UG-Intro Lab Physics
Vectors for Physics 1 Mohammed Safouh Sakka Amini UG-Intro Lab Physics
Addition of two vectors Sara Alruwaili UG-Intro
HS
HW
Lab
Physics
Addition of two vectors Sara Alruwaili Grad
HS
HW
Lab
Physics
vector addition Ahmed Elsayed UG-Adv
UG-Intro
Lab
HW
Physics
Forces at Equlibrium Abdulraheem Khudada HS Lab Physics
vectors ibrahim ershaid UG-Adv Lab Physics
Vector Addition Abdullah Monif Assker UG-Intro
HS
Remote
HW
Lab
Guided
Physics
Addition of two vectors Khalid Aljadhai HS
UG-Intro
Remote
Guided
Lab
Physics
MS and HS TEK to Sim Alignment Elyse Zimmer HS
MS
Other Biology
Chemistry
Physics
Forces at equilibrium Nawal Nayfeh HS
UG-Intro
Lab
Remote
Physics
Mapping of PhET and IBDP Physics Jaya Ramchandani HS Other Physics
PhET Simulations Aligned for AP Physics C Roberta Tanner HS Other Physics
Virtual Vector Lab - Components & Trig Operations Jeremy Smith HS Lab Physics
Mathematics
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 HS
UG-Intro
Lab Physics
Mathematics
Vector Dot Product Sue Popelka HS Lab
Addition and Resolution of Vectors Chow CW HS
UG-Intro
Lab
CQs
HW
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 Physics
Mathematics
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) HS
UG-Intro
Lab
Demo
HW
Physics
Mathematics
Soma Vetorial Diego Oliveira Silva, Gilvandenys Leite Sales HS
MS
Guided Mathematics
Physics
Practica de Vectores. walter Manuel Trujillo Yaipen UG-Intro
UG-Adv
Grad
Guided
Lab
HW
Physics

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