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

Quizplus · Accepted Answer

To find the component form of vector $v$ with an initial point $P_1(x_1, y_1) = (1, -7)$ and a terminal point $P_2(x_2, y_2) = (-3, 1)$, use the formula $v = \langle x_2 - x_1, y_2 - y_1 \rangle$. Substituting the given points, $v = \langle -3 - 1, 1 - (-7) \rangle = \langle -4, 8 \rangle$.

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 $\mathbf { v } = \langle - 4 , - 8 \rangle$