Answers PGHS Precalculus B Dot Product and WorkQuestion 9

9

QuizMultiple Choice

Dot Product and Work

Question 9 • *PGHS Precalculus B

Which pair of vectors is orthogonal?

Answer

A

u = ⟨–3, 2⟩ and v = ⟨–2, 1⟩

B

u = ⟨1, 5⟩ and v = ⟨–5, 1⟩

C

u = ⟨2, 1⟩ and v = ⟨–4, 3⟩

D

u = ⟨2, 3⟩ and v = ⟨3, 1⟩

Explanation

Two vectors are orthogonal when their dot product is 0. For choice B, ⟨1, 5⟩ · ⟨−5, 1⟩ = 1(−5) + 5(1) = −5 + 5 = 0, so the vectors are orthogonal.

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