Question

question 3
question 2
question 1
evaluate a - b for a = (3,1), b = (0,0).
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 formula \(\mathbf{a}-\mathbf{b}=\langle a_1 - b_1,a_2 - b_2
angle\).
Given \(\mathbf{a}=\langle3,1
angle\) and \(\mathbf{b}=\langle0,0
angle\).

Step2: Subtract corresponding components

For the first component: \(3 - 0 = 3\).
For the second component: \(1 - 0 = 1\).
So, \(\mathbf{a}-\mathbf{b}=\langle3 - 0,1 - 0
angle=\langle3,1
angle\).

Answer:

\(\langle 3, 1
angle\)