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

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

User Levitikon
by
8.9k points

2 Answers

3 votes

Answer:

A

Explanation:

User Alan De Smet
by
8.5k points
1 vote

ANSWER


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.

User Jeffrey Knight
by
8.2k points

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