Find the component form of the indicated vector.
-Let $\mathbf { u } = \langle - 5,3 \rangle , \mathbf { v } = \langle 2,4 \rangle$. Find $2 \mathbf { u } + 5 \mathbf { v }$.
A) $\langle 0,7 \rangle$
B) $\langle 0,26 \rangle$
C) $\langle - 20 , - 14 \rangle$
D) $\langle - 6,14 \rangle$

Question

Quizplus · Accepted Answer

To find $2\mathbf{u} + 5\mathbf{v}$, first multiply each vector by its scalar: $2\mathbf{u} = 2\langle -5,3 \rangle = \langle -10,6 \rangle$ and $5\mathbf{v} = 5\langle 2,4 \rangle = \langle 10,20 \rangle$. Then, add the results: $\langle -10,6 \rangle + \langle 10,20 \rangle = \langle 0,26 \rangle$.

Find the Component Form of the Indicated Vector u=⟨−5,3⟩,v=⟨2,4⟩\mathbf { u } = \langle - 5,3 \rangle , \mathbf { v } = \langle 2,4 \rangleu=⟨−5,3⟩,v=⟨2,4⟩

Find the Component Form of the Indicated Vector $\mathbf { u } = \langle - 5,3 \rangle , \mathbf { v } = \langle 2,4 \rangle$