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Lesson: The Angle between Two Vectors in the Coordinate Plane Mathematics • 12th Grade

In this lesson, we will learn how to use the dot product to find the angle between two nonzero vectors in a plane.

Lesson Plan

Students will be able to

find the angle between two vectors in the coordinate plane,
evaluate vector expressions using the formula for the angle between two vectors in the coordinate plane,
show that two vectors in the coordinate plane are parallel or perpendicular using the angle between them.

Q1:

If and , where the measure of the angle between and is , find correct to the nearest hundredth.

Q2:

Suppose is a square of side 47. Determine .

Q3:

Suppose a rectangle with and . Determine .

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