Guelph Physics Tutorials: Vectors

home » Website Detail Page

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.

http://www3.physics.uoguelph.ca/tutorials/vectors/vectors.html

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	Currently 0.0/5 Want to rate this material? Login here!

Access Rights:: Free access
Restriction:: © 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:: August 18, 2020 by Lyle Barbato
Last Update when Cataloged:: March 29, 2006
Other Collections:: The Physics Front

Post a new comment on this item

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(v_x, v_y) = (cv_x, cv_y).

ComPADRE is beta testing Citation Styles!

Record Link

<a href="https://www.compadre.org/portal/items/detail.cfm?ID=7754">Department of Physics, University of Guelph. Guelph Physics Tutorials: Vectors. Guelph: Department of Physics, University of Guelph, March 29, 2006.</a>

AIP Format

(Department of Physics, University of Guelph, Guelph, 2006), WWW Document, (http://www3.physics.uoguelph.ca/tutorials/vectors/vectors.html).

AJP/PRST-PER

Guelph Physics Tutorials: Vectors (Department of Physics, University of Guelph, Guelph, 2006), <http://www3.physics.uoguelph.ca/tutorials/vectors/vectors.html>.

APA Format

Guelph Physics Tutorials: Vectors. (2006, March 29). Retrieved October 13, 2024, from Department of Physics, University of Guelph: http://www3.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://www3.physics.uoguelph.ca/tutorials/vectors/vectors.html (accessed 13 October 2024).

MLA Format

Guelph Physics Tutorials: Vectors. Guelph: Department of Physics, University of Guelph, 2006. 29 Mar. 2006. 13 Oct. 2024 <http://www3.physics.uoguelph.ca/tutorials/vectors/vectors.html>.

BibTeX Export Format

@misc{ Title = {Guelph Physics Tutorials: Vectors}, Publisher = {Department of Physics, University of Guelph}, Volume = {2024}, Number = {13 October 2024}, 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://www3.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 2024 %N 13 October 2024 %8 March 29, 2006 %9 text/html %U http://www3.physics.uoguelph.ca/tutorials/vectors/vectors.html

Disclaimer: ComPADRE offers citation styles as a guide only. We cannot offer interpretations about citations as this is an automated procedure. Please refer to the style manuals in the Citation Source Information area for clarifications.

Citation Source Information

The AIP Style presented is based on information from the AIP Style Manual.

The APA Style presented is based on information from APA Style.org: Electronic References.

The Chicago Style presented is based on information from Examples of Chicago-Style Documentation.

The MLA Style presented is based on information from the MLA FAQ.

This resource is stored in 3 shared folders.

You must login to access shared folders.