Question

given vectors ( mathbf{u}=langle-1,-1
angle ) and ( mathbf{v}=langle 7,4
angle ), find the sum ( mathbf{u}+mathbf{v} ) and write the result in component form.

Explanation:

Step1: Add the x - components

For vectors \(\mathbf{u}=\langle - 1,-1
angle\) and \(\mathbf{v}=\langle7,4
angle\), the x - component of \(\mathbf{u}+\mathbf{v}\) is \((-1)+7\).

$$(-1)+7 = 6$$

Step2: Add the y - components

The y - component of \(\mathbf{u}+\mathbf{v}\) is \((-1)+4\).

$$(-1)+4=3$$

Answer:

\(\langle6,3
angle\)