Question

let the vector v have an initial point at (5,0) and a terminal point at (3, -1). 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 $\mathbf{v}=\langle x_2 - x_1,y_2 - y_1
angle$.

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

Here, $x_1 = 5,y_1=0,x_2 = 3,y_2=-1$.

Step3: Calculate the components

$x_2 - x_1=3 - 5=-2$ and $y_2 - y_1=-1 - 0=-1$. So, $\mathbf{v}=\langle - 2,-1
angle$.

Answer:

$\langle -2,-1
angle$