2
QuizMultiple Choice

Dot Product and Work — Unit test

Question 2 • Precalculus

Vectors u and v have magnitudes of 20 and 13, respectively, and the angle between them is 210°. What is the scalar projection of u onto v?

Answer
A
–17.32
B
–11.26
C
11.26
D
17.32

Explanation

The scalar projection of u onto v is |u| cos θ, where θ is the angle between the vectors. Substituting the values gives 20 cos 210° = 20(−√3/2) ≈ −17.32. The correct choice is −17.32.

AI-written and checked against the verified answer.

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