Question

Given u=(1,3) and v=(2,6), find 2v+u

Options
(5,15)
(4,12)
(3,9)
(6,18)

Answer 1

A

Explanation:

Answer 2

`2v + u = \binom{5}{15}`

EXPLANATION

It was given that:

`u = \binom{1}{3}`

and

`v = \binom{2}{6}`

`2v + u =2 \binom{2}{6} + \binom{1}{3}`

Perform the scalar multiplication to obtain:

`2v + u = \binom{4}{12} + \binom{1}{3}`

We add the corresponding components to get;

`2v + u = \binom{4 + 1}{12 + 3}`

`2v + u = \binom{5}{15}`

The first choice is correct.