$\text { Given } \mathbf { u } = \{ 6,12 \} \text { and } \mathbf { v } = \{ 3 , - 12 \} , \text { find } 2 \mathbf { u } + 5 \mathbf { v }$
A) $\{ 6 , - 36 \}$
B) $\{ 3,84 \}$
C) $\{ 9 , - 52 \}$
D) $\{ 12,60 \}$
E) $\{ 27 , - 36 \}$

Question

$\text { Given } \mathbf { u } = \{ 6,12 \} \text { and } \mathbf { v } = \{ 3 , - 12 \} , \text { find } 2 \mathbf { u } + 5 \mathbf { v }$ 
A) $\{ 6 , - 36 \}$
B) $\{ 3,84 \}$
C) $\{ 9 , - 52 \}$
D) $\{ 12,60 \}$
E) $\{ 27 , - 36 \}$

Quizplus · Accepted Answer

First, calculate $2\mathbf{u} = 2\{6,12\} = \{12,24\}$ and $5\mathbf{v} = 5\{3,-12\} = \{15,-60\}$. Then, add these results to get $2\mathbf{u} + 5\mathbf{v} = \{12+15, 24-60\} = \{27, -36\}$.

Given u={6,12} and v={3,−12}, find 2u+5v\text { Given } \mathbf { u } = \{ 6,12 \} \text { and } \mathbf { v } = \{ 3 , - 12 \} , \text { find } 2 \mathbf { u } + 5 \mathbf { v } Given u={6,12} and v={3,−12}, find 2u+5v

$\text { Given } \mathbf { u } = \{ 6,12 \} \text { and } \mathbf { v } = \{ 3 , - 12 \} , \text { find } 2 \mathbf { u } + 5 \mathbf { v }$