Find the component form of the indicated vector.
-Let $\mathbf { u } = \langle - 5,1 \rangle , \mathbf { v } = \langle - 7 , - 1 \rangle$. Find $8 \mathbf { u } + 2 \mathbf { v }$.
A) $\langle - 54,6 \rangle$
B) $( - 32 , - 16 )$
C) $\langle - 26,10 \rangle$
D) $\langle - 96,0 \rangle$

Question

Quizplus · Accepted Answer

To find $8 \mathbf { u } + 2 \mathbf { v }$, we first multiply each vector by its scalar: $8\mathbf{u} = 8\langle -5,1 \rangle = \langle -40,8 \rangle$ and $2\mathbf{v} = 2\langle -7,-1 \rangle = \langle -14,-2 \rangle$. Adding these results gives $\langle -40 + (-14), 8 + (-2) \rangle = \langle -54, 6 \rangle$.

Find the Component Form of the Indicated Vector u=⟨−5,1⟩,v=⟨−7,−1⟩\mathbf { u } = \langle - 5,1 \rangle , \mathbf { v } = \langle - 7 , - 1 \rangleu=⟨−5,1⟩,v=⟨−7,−1⟩

Find the Component Form of the Indicated Vector $\mathbf { u } = \langle - 5,1 \rangle , \mathbf { v } = \langle - 7 , - 1 \rangle$