Question

let the vector v have an initial point at (-3, -1) and a terminal point at (-6, -4). determine the components of vector v.

Explanation:

Step1: Recall vector - component formula

If a vector $\mathbf{v}$ has initial point $(x_1,y_1)$ and terminal point $(x_2,y_2)$, then $\mathbf{v}=\langle x_2 - x_1,y_2 - y_1
angle$.

Step2: Identify values of $x_1,y_1,x_2,y_2$

Here, $x_1=-3,y_1 = - 1,x_2=-6,y_2=-4$.

Step3: Calculate the $x$ - component

$x=x_2 - x_1=-6-(-3)=-6 + 3=-3$.

Step4: Calculate the $y$ - component

$y=y_2 - y_1=-4-(-1)=-4 + 1=-3$.

Answer:

$\langle - 3,-3
angle$