Vector Dot Products and Angles Quiz

Calculate the dot product of the vectors (3, 4, 5) and (1, -2, 3).

• 15

• 10

• 24

• 7

Determine the angle between the vectors (2, 1, -3) and (4, -2, 1).

• 45 degrees

• 30 degrees

• 60 degrees

• 90 degrees

Find the dot product of the vectors (5, -1, 2) and (-3, 2, 6).

• 5*(-3) + (-1)*2 + 2*6 = -15 + 2 - 12 = -25

• 5*(-3) + (-1)*2 + 2*6 = 15 + 2 + 12 = 29

• 5*(-3) + (-1)*2 + 2*6 = -15 - 2 + 12 = -5

• 5*(-3) + (-1)*2 + 2*6 = 3 - 2 + 12 = 13

What is the angle between the vectors (1, 2, 3) and (-2, 1, 4)?

• The angle between the vectors (1, 2, 3) and (-2, 1, 4) is approximately 45.57 degrees.

• The angle between the vectors is 90 degrees

• The angle between the vectors is 30 degrees

• The angle between the vectors is 180 degrees

Solve for the dot product of the vectors (4, 3, -1) and (2, -5, 7).

• 12

• 35

• -23

• 8

Calculate the angle between the vectors (3, -2, 1) and (-1, 4, -2).

• 120 degrees

• 64.1 degrees

• 90 degrees

• 45 degrees

Find the dot product of the vectors (2, 5, -3) and (1, -3, 2).

• -4

• 10

• 6

• 1

Determine the angle between the vectors (3, 1, 4) and (2, -2, 5).

• The angle between the vectors is approximately 38.7 degrees

• The angle between the vectors is approximately 270 degrees

• The angle between the vectors is approximately 180 degrees

• The angle between the vectors is approximately 90 degrees

What is the dot product of the vectors (-1, 2, 3) and (4, 5, -6)?

• -20

• 11

• 30

• -3

Find the angle between the vectors (1, -1, 2) and (3, 2, 4).

• 3.6 radians

• 0.78 radians

• 1.2 radians

• 2.5 radians