Compute the dot product u·v for u=(3,-2,5) and v=(1,0,-4).

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Multiple Choice

Compute the dot product u·v for u=(3,-2,5) and v=(1,0,-4).

Explanation:
The dot product is found by multiplying corresponding components and adding the results. For u = (3, -2, 5) and v = (1, 0, -4), compute: 3*1 + (-2)*0 + 5*(-4) = 3 + 0 - 20 = -17. So the dot product is -17. The remaining options would come from either mis multiplying a term (for example getting a positive 20 instead of -20 for the last product) or dropping the zero term, but with the given components the correct sum is -17.

The dot product is found by multiplying corresponding components and adding the results. For u = (3, -2, 5) and v = (1, 0, -4), compute: 3*1 + (-2)0 + 5(-4) = 3 + 0 - 20 = -17. So the dot product is -17. The remaining options would come from either mis multiplying a term (for example getting a positive 20 instead of -20 for the last product) or dropping the zero term, but with the given components the correct sum is -17.

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