Question

given vectors ( mathbf{u}=langle 7,-4
angle ) and ( mathbf{v}=langle 2,7
angle ), find the sum ( mathbf{u}+mathbf{v} ) and write the result in component form.
click and drag either vector to add graphically.

Explanation:

Step1: Add the x - components

For vectors \(\mathbf{u}=\langle7,-4
angle\) and \(\mathbf{v}=\langle2,7
angle\), the x - component of \(\mathbf{u}+\mathbf{v}\) is \(7 + 2\).
\(7+2=9\)

Step2: Add the y - components

The y - component of \(\mathbf{u}+\mathbf{v}\) is \(-4 + 7\).
\(-4 + 7=3\)

Answer:

\(\langle9,3
angle\)