Question

given vectors $\mathbf{u}=\langle 1,-2\
angle$ and $\mathbf{v}=\langle -3,4\
angle$, 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 \(\mathbf{u}=\langle1,-2
angle\) and \(\mathbf{v}=\langle - 3,4
angle\), the x - components are \(1\) and \(-3\).
\(1+(-3)=1 - 3=-2\)

Step2: Add the y - components

The y - components are \(-2\) and \(4\).
\(-2 + 4=2\)

Answer:

\(\langle-2,2
angle\)