Education Technology

Vectors In Component Form

Published on 11/16/2015

Activity Overview

Students experiment with an interactive 2 dimensional vector and observe the corresponding changes to its representation in i and j component form.

Objectives

Students will learn how to express a vector in component form using the unit vectors i and j.

Vocabulary

vectors, component form, magnitude, direction, Cartesian plane, angle, i-component, j-component

About the Lesson

Vectors are used to represent quantities that have both magnitude and direction. There are a number of ways that 2D vectors can be represented. One of these representations involves expressing a vector r in terms of unit vectors i and j. This is known as component form and is expressed as r = ai + bj. A tns file is provided to students for this activity to allow them to become familiar with this form of vector notation.