Question

evaluate a - b for a = (2,0), b = (4,4). a - b = ( , )

Explanation:

Step1: Recall vector subtraction rule

For vectors $\mathbf{a}=\langle x_1,y_1
angle$ and $\mathbf{b}=\langle x_2,y_2
angle$, $\mathbf{a}-\mathbf{b}=\langle x_1 - x_2,y_1 - y_2
angle$.

Step2: Substitute values

Given $\mathbf{a}=\langle 2,0
angle$ and $\mathbf{b}=\langle 4,4
angle$, then $x_1 = 2, y_1 = 0, x_2 = 4, y_2 = 4$.
So $x_1 - x_2=2 - 4=-2$ and $y_1 - y_2=0 - 4=-4$.

Answer:

$\langle -2, -4
angle$