7
AssignmentMultiple Choice

Dot Product and Work

Question 7 • Precalculus

Which pair of vectors is orthogonal?

Answer
A
⟨3, –5⟩ and ⟨6, –10⟩
B
⟨2, –3⟩ and ⟨9, –6⟩
C
⟨–2, 3⟩ and ⟨–6, –4⟩
D
⟨–5, 4⟩ and ⟨–4, –2⟩

Explanation

Two vectors are orthogonal when their dot product is 0. For choice C, (−2)(−6) + (3)(−4) = 12 − 12 = 0, so the vectors ⟨−2, 3⟩ and ⟨−6, −4⟩ are orthogonal. The other pairs have nonzero dot products.

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