Question

Consider the following vectors: y = (2,4), v = (-1, -1), and w = (7.-2).

What is the vector for 3u + v- 2w in component form?
(20,15)
(10,7)
(-6,1)
(-9.15)

Answer 1

(-9.15)

Explanation:

We are given these following vectors:

u = (2,4), v = (-1,-1), w = (7,-2)

What is the vector for 3u + v- 2w in component form?

3u + v - 2w = 3(2,4) + (-1,-1) - 2(7,-2) = (6,12) + (-1,-1) + (-14,4) = (6 - 1 - 14, 12 - 1 + 4) = (-9, 15)

The answer is (-9,15).