Question

evaluate a - b for a = (4,2), b = (4,3).
a - b = <□,□>

Explanation:

Step1: Identify vector components

Given \(\mathbf{a}=\langle 4, 2
angle\) and \(\mathbf{b}=\langle 4, 3
angle\). To subtract vectors, we subtract their corresponding components.

Step2: Subtract x - components

For the x - component: \(4 - 4 = 0\)

Step3: Subtract y - components

For the y - component: \(2 - 3=-1\)

Step4: Form the resultant vector

So, \(\mathbf{a}-\mathbf{b}=\langle 0, - 1
angle\)

Answer:

\(\langle 0, -1
angle\)