Question

find u + v.
u = \langle 6, - 5 \
angle and v = \langle - 3, - 5 \
angle
u + v = \langle \square, \square \
angle
(simplify your answers.)

Explanation:

Step1: Add the x - components

To add two vectors \(\mathbf{u}=\langle u_1,u_2
angle\) and \(\mathbf{v}=\langle v_1,v_2
angle\), we use the formula \(\mathbf{u}+\mathbf{v}=\langle u_1 + v_1,u_2 + v_2
angle\). For the x - components, \(u_1 = 6\) and \(v_1=-3\). So we calculate \(6+(-3)\).
\(6+(-3)=6 - 3=3\)

Step2: Add the y - components

For the y - components, \(u_2=-5\) and \(v_2 = - 5\). We calculate \(-5+(-5)\).
\(-5+(-5)=-5 - 5=-10\)

Answer:

\(\langle3,-10
angle\)