Question

let the vector v have an initial point at (-4, 4) and a terminal point at (-7, 6). determine the components of vector v. answer attempt 1 out of 2

Explanation:

Step1: Recall vector - component formula

If a vector $\mathbf{v}$ has an initial point $(x_1,y_1)$ and a terminal point $(x_2,y_2)$, then the components of the vector are given by $\langle x_2 - x_1,y_2 - y_1
angle$.
Here, $x_1=-4,y_1 = 4,x_2=-7,y_2 = 6$.

Step2: Calculate the $x$ - component

$x=x_2 - x_1=-7-(-4)=-7 + 4=-3$.

Step3: Calculate the $y$ - component

$y=y_2 - y_1=6 - 4=2$.

Answer:

$\langle - 3,2
angle$