Question

Given u = (2, -8) and v = (8, -2), what is u times v?

a. -68
b. -60
c. 0
d. 32

Answer 1

The product of the vectors u = (2, -8) and v = (8, -2) is calculated using the dot product method. The result of this calculation is 32, which is answer choice (d).

Step-by-step explanation:

The student asked to find the product of two given vectors, u and v. In this context, 'u times v' is usually interpreted as the dot product of two vectors. The dot product is a scalar value obtained by multiplying the corresponding components of the vectors and then summing those products. For vectors u = (2, -8) and v = (8, -2), the dot product would be calculated as follows:

u · v = (2)(8) + (-8)(-2)

u · v = 16 + 16 = 32

Therefore, the dot product of vectors u and v is 32, which corresponds to answer choice (d).