10
QuizMultiple Choice

Dot Product and Work — Quiz

Question 10 • Precalculus

Given vector u with components three comma two , vector v with components one comma five , and the angle between the vectors is 45 degrees , what is vector u times vector v ?

Answer
A
3
B
13
C
4
D
21

Explanation

The product of two vectors here is their dot product: multiply corresponding components and add. Thus u · v = (3)(1) + (2)(5) = 3 + 10 = 13, so the correct choice is 13. The given 45° angle is consistent with these vectors but is not needed for this calculation.

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