Dot Product and Work

Question 1

Two vectors of lengths 5 and 8 have a dot product equal to –20. Which is true about the vectors?

Revolt · Accepted Answer

B: The angle between the vectors is obtuse.

Question 2

Let u = ⟨5, –7⟩ and v = ⟨2, 1⟩. What is u · v?

Revolt · Accepted Answer

C: 3

Question 3

Given |u| = 8, |v| = 6, and the angle between is θ = 40°, find the approximate value of u · v.

Revolt · Accepted Answer

C: 36.77

Question 4

xy =

Revolt · Accepted Answer

A: 10

Question 5

Two vectors with magnitudes of 6 and 9 have a dot product equal to –27.Find the angle between the vectors.

Revolt · Accepted Answer

B: 120°

Question 6

Which pair of vectors is orthogonal?

Revolt · Accepted Answer

C: ⟨–2, 3⟩ and ⟨–6, –4⟩

Question 7

He is pulling 400 feet over level ground by exerting a constant 25-pound force on the bar that makes an angle of 30° with the ground. How much work is Thomas doing to pull the wagon?

Revolt · Accepted Answer

B: 8,660 foot-pounds

Question 8

x · y =

Revolt · Accepted Answer

B: 240

Dot Product and Work Answers

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