4
AssignmentMultiple Choice

Applying Vectors in the Plane

Question 4 • 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 zero. For choice C, ⟨−2, 3⟩ · ⟨−6, −4⟩ = (−2)(−6) + 3(−4) = 12 − 12 = 0. Therefore, the pair ⟨−2, 3⟩ and ⟨−6, −4⟩ is orthogonal.

AI-written and checked against the verified answer.