# Lesson Worksheet: Angle between Two Vectors in Space Mathematics • 12th Grade

In this worksheet, we will practice finding the angle between two vectors in space using their dot product.

Q1:

If and , find the measure of the angle between the two vectors rounded to the nearest hundredth.

Q2:

Find the angle between the vectors and . Give your answer correct to one decimal place.

Q3:

Given that and , determine, to the nearest hundredth, the measure of the smaller angle between the two vectors.

Q4:

Given that , , and , determine the measure of the smaller angle between the two vectors.

Q5:

Find the angle between the vectors and .

Q6:

Find the angle between the vector and the unit vector . Round your answer to the nearest degree.

Q7:

Given , , , and , determine the measure of the angle between vectors and rounded to the nearest hundredth.

Q8:

The angle between and is . If , find to the nearest hundredth.

Q9:

If and are two perpendicular unit vectors, find .

Q10:

Find the measure of the angle between the two vectors shown in the figure. Round your answer to the nearest degree. 