5
QuizMultiple Choice

Dot Product and Work — Quiz

Question 5 • Precalculus

Which pair of vectors is orthogonal?

Answer
A
vector u with components one comma five and vector v with components negative five comma one
B
vector u with components negative three comma two and vector v with components negative two comma one
C
vector u with components two comma one and vector v with components negative four comma three
D
vector u with components two comma three and vector v with components three comma one

Explanation

Two vectors are orthogonal when their dot product is 0. For choice D, the dot product is (1)(−5) + (5)(1) = −5 + 5 = 0, so the vectors with components (1, 5) and (−5, 1) are orthogonal.

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