Question

question given vectors u = <-8,6> and v = <-7,7>, find the sum u + v and write the result in component form.

Explanation:

Step1: Recall vector - addition rule

For vectors $\mathbf{u}=\langle u_1,u_2
angle$ and $\mathbf{v}=\langle v_1,v_2
angle$, $\mathbf{u}+\mathbf{v}=\langle u_1 + v_1,u_2 + v_2
angle$. Here, $u_1=-8$, $u_2 = 6$, $v_1=-7$, and $v_2 = 7$.

Step2: Add the first components

$u_1 + v_1=-8+( - 7)=-8 - 7=-15$.

Step3: Add the second components

$u_2 + v_2=6 + 7 = 13$.

Answer:

$\langle - 15,13
angle$