4
QuizMultiple Choice

Dot Product and Work — Quiz

Question 4 • Precalculus

Given vectors bf u and bf v , with magnitude of vector u is equal to 10 and magnitude of vector v is equal to 12 , and the angle between the vectors is 53 degrees , what is vector u times vector v ?

Answer
A
13 point 2 4
B
0 point 7 2
C
1 point 2 0
D
72 point 2 2

Explanation

The product of two vectors here is their dot product, found using |u||v| cos θ. Substituting the given magnitudes and angle gives 10 × 12 × cos(53°) ≈ 120 × 0.6018 ≈ 72.22. Therefore, the correct choice is A, 72.22.

AI-written and checked against the verified answer.

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