Question

let the vector v have an initial point at (3, -4) and a terminal point at (7, 0). determine the components of vector v.

Explanation:

Step1: Recall 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, $x_1 = 3$, $y_1=-4$, $x_2 = 7$, $y_2 = 0$.

Step3: Calculate the components

$x_2 - x_1=7 - 3=4$ and $y_2 - y_1=0-(-4)=4$. So, $\mathbf{v}=\langle4,4
angle$.

Answer:

$\langle4,4
angle$