Question

question given vectors u = ⟨-3, -6⟩ and v = ⟨-5, -8⟩, 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, $u_1=-3$, $u_2=-6$, $v_1=-5$, $v_2=-8$.

Step2: Calculate the first - component of the sum vector

$u_1 + v_1=-3+( - 5)=-3 - 5=-8$.

Step3: Calculate the second - component of the sum vector

$u_2 + v_2=-6+( - 8)=-6 - 8=-14$.

Answer:

$\langle - 8,-14
angle$