Question

given vectors ( mathbf{u}=langle-2,-1
angle ) and ( mathbf{v}=langle6,1
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 \(\mathbf{u}=\langle - 2,-1
angle\) and \(\mathbf{v}=\langle6,1
angle\), the x - component of \(\mathbf{u}+\mathbf{v}\) is \(-2 + 6\).
\(-2+6=4\)

Step2: Add the y - components

The y - component of \(\mathbf{u}+\mathbf{v}\) is \(-1 + 1\).
\(-1 + 1=0\)

Answer:

\(\langle4,0
angle\)