## Detail Page

published by the Department of Physics, University of Guelph
This page offers a straightforward tutorial on the fundamentals of vector operations. It is an illustrated guide to vector subtraction/addition, vector resolution, and multiplication of two vectors. It could serve as textbook supplementation or as content support for science teachers.
Subjects Levels Resource Types
General Physics
- Measurement/Units
= Coordinates
= Scaling
Mathematical Tools
- Vector Algebra
Other Sciences
- Mathematics
- High School
- Lower Undergraduate
- Instructional Material
= Problem/Problem Set
= Tutorial
Intended Users Formats Ratings
- Learners
- Educators
- text/html
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Free access
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© 2006 Department of Physics, University of Guelph
Keywords:
TPT Websights, coordinates, direction, magnitude, measurement, notation, resolving a vector, scale, tutorial, vector addition, vector components, vector resolution, vectors
Record Cloner:
Metadata instance created July 31, 2008 by Christopher Bares
Record Updated:
January 10, 2014 by Caroline Hall
Last Update
when Cataloged:
March 29, 2006
Other Collections:

### Common Core State Standards for Mathematics Alignments

#### High School — Number and Quantity (9-12)

Vector and Matrix Quantities (9-12)
• N-VM.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).
• N-VM.2 (+) Find the components of a vector by subtracting the coordinates of an initial point from the coordinates of a terminal point.
• N-VM.3 (+) Solve problems involving velocity and other quantities that can be represented by vectors.
• N-VM.4.a 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.
• N-VM.4.b Given two vectors in magnitude and direction form, determine the magnitude and direction of their sum.
• N-VM.4.c 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.
• N-VM.5.a 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).
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Record Link
AIP Format
(Department of Physics, University of Guelph, Guelph, 2006), WWW Document, (http://www.physics.uoguelph.ca/tutorials/vectors/vectors.html).
AJP/PRST-PER
Guelph Physics Tutorials: Vectors, (Department of Physics, University of Guelph, Guelph, 2006), <http://www.physics.uoguelph.ca/tutorials/vectors/vectors.html>.
APA Format
Guelph Physics Tutorials: Vectors. (2006, March 29). Retrieved June 22, 2018, from Department of Physics, University of Guelph: http://www.physics.uoguelph.ca/tutorials/vectors/vectors.html
Chicago Format
Department of Physics, University of Guelph. Guelph Physics Tutorials: Vectors. Guelph: Department of Physics, University of Guelph, March 29, 2006. http://www.physics.uoguelph.ca/tutorials/vectors/vectors.html (accessed 22 June 2018).
MLA Format
Guelph Physics Tutorials: Vectors. Guelph: Department of Physics, University of Guelph, 2006. 29 Mar. 2006. 22 June 2018 <http://www.physics.uoguelph.ca/tutorials/vectors/vectors.html>.
BibTeX Export Format
@misc{ Title = {Guelph Physics Tutorials: Vectors}, Publisher = {Department of Physics, University of Guelph}, Volume = {2018}, Number = {22 June 2018}, Month = {March 29, 2006}, Year = {2006} }
Refer Export Format

%T Guelph Physics Tutorials: Vectors
%D March 29, 2006
%I Department of Physics, University of Guelph
%C Guelph
%U http://www.physics.uoguelph.ca/tutorials/vectors/vectors.html
%O text/html

EndNote Export Format

%0 Electronic Source
%D March 29, 2006
%T Guelph Physics Tutorials: Vectors
%I Department of Physics, University of Guelph
%V 2018
%N 22 June 2018
%8 March 29, 2006
%9 text/html
%U http://www.physics.uoguelph.ca/tutorials/vectors/vectors.html

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