Vector Addition
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Topics
- Vectors
- Vector Components
- Vector Addition
- 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
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Overview of sim controls, model simplifications, and insights into student thinking ( PDF ). |
Teacher-Submitted Activities
| Algebra-based Physics Semester one lessons, clicker questions, and schedule in pdf (Inquiry Based) |
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Trish Loeblein | HS UG-Intro |
Demo HW Lab |
Physics |
| Concept questions for Physics using PhET (Inquiry Based) |
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Trish Loeblein | HS UG-Intro |
MC | Physics |
| Vector Addition 1: Introduction to vector math (Inquiry Based) |
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Trish Loeblein | HS UG-Intro |
Lab | Mathematics Physics |
| Vector Addition 2: Understanding Force equilibrium (Inquiry Based) |
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Trish Loeblein | HS UG-Intro |
Other | Mathematics Physics |
| Vectors; The resultant of adding two vectors. | Amna Al Hamadi | UG-Intro Grad UG-Adv |
Discuss HW Lab MC |
Physics | ||
| Adding Vectors | Diaa Nasr | HS UG-Intro |
Lab HW |
Physics | ||
| Adding vectors | Mira Almarzooqi | UG-Intro HS |
Lab | Physics | ||
| vectors | Hessa alhosani | HS | Lab | Physics | ||
| vectors addition | layan almudaiheem | UG-Intro | Lab | Physics | ||
| Vectors Lab Report | Fahed Abdullah | UG-Intro | Lab | Physics | ||
| Vector Addition | abdulla esmail | UG-Adv UG-Intro HS Grad |
HW Lab |
Physics | ||
| vectors | Abdullah Ziad | UG-Adv UG-Intro |
Remote Lab |
Physics | ||
| Vectors Addition | Mira Hassan | UG-Intro HS |
Lab | Physics | ||
| Vector | Khadija Aloughani | UG-Intro | Remote Lab |
Physics | ||
| worksheet about vectors | Bailasan baida | MS HS UG-Intro |
Other Lab HW |
Physics | ||
| Vectors worksheet | Halima Talal | UG-Intro HS UG-Adv |
Remote MC Guided Lab |
Physics | ||
| Vector Addition Worksheet | Salma Saad | HS UG-Intro |
Lab HW |
Physics | ||
| vectors adding experiment | moza alketbi | UG-Intro | Lab | Physics | ||
| vectors | fatma aqilzadeh | HS UG-Intro |
Lab | Physics | ||
| Vector Addition Experiment | Aisha Alowais | UG-Intro | Lab | Physics | ||
| vectors addition | Alya Almazrou | UG-Intro | Lab HW |
Physics | ||
| Vectors Worksheet | Meriem Aoudia | UG-Intro | Lab | Physics | ||
| Vector addition worksheet | Ahmad Khalid Nouman | HS UG-Intro |
HW | Physics | ||
| Adding vectors | Yousef Maqatef | UG-Intro | Lab HW |
Physics | ||
| Addition of two vectors | Abdalla AlHarmoodi | HS UG-Intro |
Remote Lab |
Physics | ||
| Vector Addition Worksheet | Awis Anadani | HS MS UG-Intro |
Demo HW Other Lab |
Physics | ||
| vectors | Alya Alhammadi | UG-Intro | Lab Remote |
Physics | ||
| Vectors Addition | Ahmed S. Mahil | UG-Intro HS UG-Adv |
Lab HW |
Physics | ||
| Adding vectors | Yahaya Yussif | UG-Adv | HW Lab |
Physics | ||
| Adding Vectors Visually and Mathematically - Intro | Jeremy smith | UG-Intro HS |
Guided Lab Remote |
Mathematics Physics |
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| Vectors for Physics 1 | Mohammed Safouh Sakka Amini | UG-Intro | Lab | Physics | ||
| Addition of two vectors | Sara Alruwaili | HS UG-Intro |
Lab HW |
Physics | ||
| Addition of two vectors | Sara Alruwaili | Grad HS |
Lab HW |
Physics | ||
| Worksheet vector | Ghaith alhaji | UG-Intro | Lab | Physics | ||
| victors worksheet | Bahaa Hassan | HS | Lab HW |
Physics | ||
| Vector Addition | Maryam Aljaziri | UG-Intro | Lab | Physics | ||
| Vectors worksheet | Ibrahim Lulu | UG-Intro | Lab Guided HW |
Physics | ||
| Forces at Equlibrium | Abdulraheem Khudada | HS | Lab | Physics | ||
| vector addition activity | Amna Alsuwaidi | HS UG-Intro |
Remote Lab |
Physics | ||
| Vector Addition Worksheet | Anas Khaled Alhouria | UG-Intro HS MS |
Lab Demo HW |
Mathematics Physics |
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| Addition of two vectors | Khalid Aljadhai | HS UG-Intro |
Lab Guided Remote |
Physics | ||
| equilibrium of forces | tahani sarayreh | HS UG-Intro |
Remote Lab |
Physics | ||
| Forces at equilibrium | Nawal Nayfeh | HS UG-Intro |
Lab Remote |
Physics | ||
| Find The components of a vector | Dr Akhlaq Ahmad | HS | Lab HW |
Physics Mathematics |
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| Addition of Vectors by its Components | Dr Akhlaq Ahmad | MS UG-Intro K-5 HS |
Lab HW |
Physics | ||
| Clases Demostrativas Interactivas (ILD) de Vectores |
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Diana López | UG-Intro HS |
Discuss Demo |
Physics |
| SECUNDARIA: Alineación PhET con programas de la SEP México (2011 y 2017) |
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Diana López | MS HS |
Other | Biology Chemistry Mathematics Physics |
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| PREPARATORIA: Alineación de PhET con programas de la DGB México (2017) |
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Diana López | UG-Intro HS |
Other | Physics Chemistry Mathematics |
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| Guia do Estudante - Encontre o Vetor Resultante | RONIVAN SOUSA DA SILVA SUTTINI | MS HS |
Remote Lab Guided |
Physics | ||
| Soma de Vetores | Juciane1 Matrtins | HS | Lab | Physics | ||
| Figuras y cuerpos geométricos. | Andrés Gualberto Palomo Cuevas | HS | Remote HW |
Mathematics | ||
| Guia de aprendizaje sobre vectores en simuladores | jorge luis rodriguez acosta | MS | Guided | Mathematics | ||
| Reforzamiento de vectores | Andrés Gualberto Palomo Cuevas | HS | Lab | Physics |
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