Operations on Vectors and Dot Product

Give your answer to 3 significant figures.

Calculate the angle between the vectors (2, 2) and (0, 3).

• 30 degrees

• 45 degrees

• 60 degrees

• 90 degrees

Find the angle between vectors <1,3> and <2,-5>.

• 40.24°

• 49.76°

• 139.76°

• 92.57°

Determine the reference angle (α) for the following vector. Round your answer to three places after the decimal.

Find the dot product of the given vectors:

• 92

• 0

• -92

• none of the above

What type of quantity is produced by the dot product of two vectors?

• scalar

• vector

Find the angle between the two vectors:

• -0.789

• 142.1

• 100

• 0.789

Find the angle between the two vectors <3, 4> and <4, -3>

• 90°

• 45°

• 53.13°

• 106.26°

• Parallel

• Orthogonal

• Neither

• Parallel

• Orthogonal

• Neither