The initial and terminal points of vector v are (3, -8) and (7, 1), respectively.Select v in component form.
A) $\mathbf { v } = \langle - 4 , - 9 \rangle$
B) $\mathbf { v } = \langle - 4,9 \rangle$
C) $\mathbf { v } = \langle 4,9 \rangle$
D) $\mathbf { v } = \langle 4 , - 9 \rangle$
E) $\mathbf { v } = \langle 9,4 \rangle$

Question

The initial and terminal points of vector v are (3, -8) and (7, 1), respectively.Select v in component form.  
A)  $\mathbf { v } = \langle - 4 , - 9 \rangle$
B)  $\mathbf { v } = \langle - 4,9 \rangle$
C) $\mathbf { v } = \langle 4,9 \rangle$
D) $\mathbf { v } = \langle 4 , - 9 \rangle$
E)  $\mathbf { v } = \langle 9,4 \rangle$

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, $v = \langle 7 - 3, 1 - (-8) \rangle = \langle 4, 9 \rangle$.

The Initial and Terminal Points of Vector V Are (3 v=⟨−4,−9⟩\mathbf { v } = \langle - 4 , - 9 \ranglev=⟨−4,−9⟩

The Initial and Terminal Points of Vector V Are (3 $\mathbf { v } = \langle - 4 , - 9 \rangle$