Answers Precalculus Dot Product and Work — Unit testQuestion 6

6

QuizMultiple Choice

Dot Product and Work — Unit test

Question 6 • Precalculus

Suppose u · v = 0. Which vectors could represent u and v?

Answer

A

u = ⟨3, 4⟩ and v = ⟨4, –3⟩

B

u = ⟨3, 4⟩ and v = ⟨–4, –3⟩

C

u = ⟨–3, 4⟩ and v = ⟨4, –3⟩

D

u = ⟨–3, –4⟩ and v = ⟨–4, –3⟩

Explanation

For two vectors to have a dot product of 0, multiply their matching components and add the products. In choice A, ⟨3, 4⟩ · ⟨4, –3⟩ = 3(4) + 4(–3) = 12 – 12 = 0. So the vectors in choice A satisfy the condition.

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