Question

question given vectors u = ⟨-3, -2⟩ and v = ⟨2, 5⟩, find the sum u + v and write the result in component form. answer: attempt 1 out of 2 score: 2/3 penalty: none watch video show examples submit answer

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, $u_1=-3$, $u_2=-2$, $v_1 = 2$, and $v_2 = 5$.

Step2: Calculate the first component

$u_1 + v_1=-3 + 2=-1$.

Step3: Calculate the second component

$u_2 + v_2=-2+5 = 3$.

Answer:

$\langle - 1,3
angle$