Question

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

Explanation:

Step1: Recall vector subtraction rule

To subtract two vectors \(\mathbf{a}=\langle a_1, a_2
angle\) and \(\mathbf{b}=\langle b_1, b_2
angle\), we use the rule \(\mathbf{a}-\mathbf{b}=\langle a_1 - b_1, a_2 - b_2
angle\).

Step2: Substitute the components

Given \(\mathbf{a}=\langle 2, 0
angle\) and \(\mathbf{b}=\langle 4, 4
angle\), we substitute \(a_1 = 2\), \(a_2 = 0\), \(b_1 = 4\), and \(b_2 = 4\) into the formula.
For the first component: \(2-4=-2\)
For the second component: \(0 - 4=-4\)
So \(\mathbf{a}-\mathbf{b}=\langle - 2,-4
angle\)

Answer:

\(\langle -2, -4
angle\)