Find the component form of vector v with initial point (1, -7) and terminal point (-3, 1).
A) $\mathbf { v } = \langle - 4 , - 8 \rangle$
B) $\mathbf { v } = \langle - 4,8 \rangle$
C) $v = \langle 8 , - 4 \rangle$
D) $v = \langle 0 , - 4 \rangle$
E) $\mathbf { v } = \langle - 8 , - 4 \rangle$

Question

Find the component form of vector v with initial point (1, -7) and terminal point (-3, 1).
A)  $\mathbf { v } = \langle - 4 , - 8 \rangle$
B) $\mathbf { v } = \langle - 4,8 \rangle$
C)  $v = \langle 8 , - 4 \rangle$
D)  $v = \langle 0 , - 4 \rangle$
E)  $\mathbf { v } = \langle - 8 , - 4 \rangle$

Quizplus · Accepted Answer

The component form of a vector is found by subtracting the coordinates of the initial point from the coordinates of the terminal point. Thus, $\mathbf{v} = (-3 - 1, 1 - (-7)) = \langle -4, 8 \rangle$.

Find the Component Form of Vector V with Initial Point v=⟨−4,−8⟩\mathbf { v } = \langle - 4 , - 8 \ranglev=⟨−4,−8⟩

Find the Component Form of Vector V with Initial Point $\mathbf { v } = \langle - 4 , - 8 \rangle$