7.4a: The Dot Product

Objectives:

• Find the dot product of two vectors and use the Properties of the Dot Product.

• Find the angle between two vectors and determine whether two vectors are orthogonal.

Definitions & Formulas:

• Dot Product

• Orthogonal

• Properties of the Dot Product

• Angle Between Two Vectors

Examples:

Ex1. Finding the Dot Product (+ student example 1)


Ex2. Properties of the Dot Product (+student example 2)


Ex3. Angle Between Two Vectors


student example 3


Ex4. Orthogonal Vectors


student example 4

Problem set 7.4a:

2-14 even

26-30 even

36, 48