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• Vectors

### 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
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

 Overview of sim controls, model simplifications, and insights into student thinking ( PDF ).

### Teacher-Submitted Activities

Concept questions for Physics using PhET (Inquiry Based) Trish Loeblein HS
UG-Intro
MC Physics
Algebra-based Physics Semester one lessons, clicker questions, and schedule in pdf (Inquiry Based) Trish Loeblein HS
UG-Intro
Lab
Demo
HW
Physics
Vector Addition 1: Introduction to vector math (Inquiry Based) Trish Loeblein UG-Intro
HS
Lab Physics
Mathematics
Vector Addition 2: Understanding Force equilibrium (Inquiry Based) Trish Loeblein UG-Intro
HS
Other Physics
Mathematics
How do PhET simulations fit in my middle school program? Sarah Borenstein MS Other Chemistry
Physics
Biology
Earth Science
PhET Sims Aligned to the Chemistry Curriculum Julia Chamberlain HS
UG-Intro
Other Chemistry
Vectors Addition Ahmed S. Mahil HS
UG-Intro
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
HS
HW
Lab
Physics
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
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
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 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
Guided
Lab
HW
Physics
Arabic All العربية جمع الأشعة
Arabic (Saudi Arabia) All العربية (السعودية) جمع المتجهات
Basque All Euskara Bektoreen batura
Bengali All Bengali ভেক্টর যোগ
Bosnian All Bosanski Sabiranje vektora
Catalan All català Vector suma
Chinese (Simplified) All 中文 (中国) 矢量叠加
Chinese (Traditional) All 中文 (台灣) 向量加法
Croatian All hrvatski Zbrajanje vektora
Czech All čeština Sčítání vektorů
Dutch All Nederlands Optellen van Vectoren
Estonian All Eesti Vektori lisamine
French All français Addition de vecteurs
Galician All Gallegan Suma de vectores
Greek All Ελληνικά Πρόσθεση ανύσματος
Hebrew All עברית חיבור וקטורים
Icelandic All íslenska Samlagning vigra
Indonesian All Bahasa Indonesia Penjumlahan Vektor
Italian All italiano Composizione vettoriale
Japanese All 日本語 ベクトルの加算
Kazakh All Kazakh Векторлық қосу
Korean All 한국어 벡터 더하기
Kurdish (Turkey) All Kurdish (Turkey) Lêzêdekirina Arastedaran
Macedonian All македонски Собирање на вектори
Malay All Bahasa Melayu Vektor Tambahan
Marathi All मराठी सदिशांची बेरीज
Mongolian All Монгол (Монгол) Векторыг Нэмэх
Norwegian Bokmal All Norsk bokmål Vektoraddisjon
Norwegian Nynorsk All Norwegian Nynorsk Addisjon av vektorar
Persian All فارسی جمع بردار
Polish All polski Dodawanie wektorów
Portuguese (Brazil) All português (Brasil) Adição de Vetores
Russian All русский Сложение векторов
Serbian All Српски Сабирање вектора
Spanish All español Adición de Vectores
Spanish (Mexico) All español (México) Adición de Vectores
Spanish (Peru) All español (Perú) Adición de Vectores
Swahili All Swahili Mwelekeo mwingine
Tamil All Tamil காவிக்கூட்டல்
Thai All ไทย การรวมเวคเตอร์
Turkish All Türkçe Vektör toplama
Turkmen All Turkmen Wektorlaryň goşulmagy
Vietnamese All Tiếng Việt Cộng Vector
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Microsoft Windows
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Macromedia Flash 9 or later
OS X 10.9.5 or later
Macromedia Flash 9 or later
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