Question

given vectors ( mathbf{u}=langle-8,-6
angle ) and ( mathbf{v}=langle 4,7
angle ), find the sum ( mathbf{u}+mathbf{v} ) and write the result in component form.

Explanation:

Step1: Add the x - components

For vectors \(\mathbf{u}=\langle - 8,-6
angle\) and \(\mathbf{v}=\langle4,7
angle\), the x - component of \(\mathbf{u}+\mathbf{v}\) is \(-8 + 4\).
\(-8+4=-4\)

Step2: Add the y - components

The y - component of \(\mathbf{u}+\mathbf{v}\) is \(-6 + 7\).
\(-6 + 7=1\)

Answer:

\(\langle-4,1
angle\)