Question

question 1
\\(\vec{v}=(-3,7)\\)
\\(\vec{u}=(8, - 5)\\)
solve: \\(\vec{u}+vec{v}=( , )\\)
question 2
\\(\vec{v}=(9,4)\\)
\\(\vec{u}=(-3,6)\\)
solve: \\(\vec{u}+vec{v}=( , )\\)

Explanation:

Step1: Add x - components

For $\vec{u}+\vec{v}$, when $\vec{v}=(-3,7)$ and $\vec{u}=(8, - 5)$, add the x - components: $-3 + 8=5$.

Step2: Add y - components

Add the y - components: $7+( - 5)=2$. So for Question 1, $\vec{u}+\vec{v}=(5,2)$.

Step3: For Question 2, add x - components

When $\vec{v}=(9,4)$ and $\vec{u}=(-3,6)$, add the x - components: $9+( - 3)=6$.

Step4: Add y - components

Add the y - components: $4 + 6=10$. So for Question 2, $\vec{u}+\vec{v}=(6,10)$.

Answer:

Question 1: $(5,2)$
Question 2: $(6,10)$