Lesson: Scalar Projection Mathematics

In this lesson, we will learn how to find the scalar projection of a vector onto another vector.

Lesson Plan

Students will be able to

find the component of a vector in the direction of another vector when given
- the components of vectors and ,
- the magnitude of vector and the angle between vectors and .

Students should already be familiar with

Students will not cover

Q1:

The cube shown has sides of length . Find the scalar projection of onto , giving your answer correct to two decimal places.

Q2:

is a right triangle at , where , , and is the midpoint of . Find the algebraic projection of in the direction of .

Q3:

Given that , , and the measure of the angle between and is , determine the algebraic projection of in the direction of .