Question

Given u=(2,−8) and v=(8,−2), what is u⋅v?
A) -68
B) -60
C) 0
D) 32

Answer 1

The dot product of vectors u=(2, -8) and v=(8, -2) is calculated by multiplying the corresponding components of the two vectors and adding the results, yielding u ⋅ v = 32. So, the correct answer is D) 32.

Step-by-step explanation:

To find the dot product of the vectors u=(2, -8) and v=(8, -2), you use the formula for the dot product:

u ⋅ v = (u1 × v1) + (u2 × v2)

Where u1 and u2 are the components of vector u, and v1 and v2 are the components of vector v.

Substituting the given values:

u ⋅ v = (2 × 8) + (-8 × -2)

This simplifies to:

u ⋅ v = 16 + 16 = 32

Therefore, the correct answer is D) 32.