Question

given vectors u = ⟨8,8⟩ and v = ⟨-3,1⟩, find the sum u + v and write the result in component form.

Explanation:

Step1: Add x - components

Add the x - components of vectors $\mathbf{u}$ and $\mathbf{v}$. The x - component of $\mathbf{u}$ is 8 and the x - component of $\mathbf{v}$ is - 3. So, $8+( - 3)=8 - 3 = 5$.

Step2: Add y - components

Add the y - components of vectors $\mathbf{u}$ and $\mathbf{v}$. The y - component of $\mathbf{u}$ is 8 and the y - component of $\mathbf{v}$ is 1. So, $8 + 1=9$.

Answer:

$\langle5,9
angle$