Question

given vectors $\mathbf{u}=\langle 5,-3\
angle$ and $\mathbf{v}=\langle -5,1\
angle$, find the sum $\mathbf{u}+\mathbf{v}$ and write the result in component form.

Explanation:

Step1: Add the x - components

For vectors \(\mathbf{u}=\langle5,-3
angle\) and \(\mathbf{v}=\langle - 5,1
angle\), the x - components are \(u_x = 5\) and \(v_x=-5\).
\(u_x + v_x=5+( - 5)\)

Step2: Add the y - components

The y - components are \(u_y=-3\) and \(v_y = 1\).
\(u_y + v_y=-3 + 1\)

Answer:

\(\langle0,-2
angle\)