# Adding and subtracting vectors in component form

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##### Examples
###### Lessons
1. Given the vectors $\vec{v}=$<$4,-3$>, $\vec{w}=$<$-1,9$> and $\vec{t}=$<$2,5$>,
1. find $\vec{v}+\vec{v}$
2. find $\vec{v}+\vec{w}$
3. find $5\vec{v}+2\vec{w}+3\vec{t}$
2. Given the vectors $\vec{v}=$<$5,5$>, $\vec{w}=$<$-2,-3$> and $\vec{t}=$<$4,-7$>,
1. find $\vec{v}-\vec{v}$
2. find $\vec{v}-\vec{w}$
3. find $2\vec{v}-\vec{t}-3\vec{w}$

1. find $\vec{p}+\vec{q}$ graphically and algebraically
2. find $2\vec{q}+\vec{p}$ graphically and algebraically

1. find $\vec{p}-\vec{q}$ graphically and algebraically
2. find $\vec{q}-\frac{1}{2} \vec{p}$ graphically and algebraically

1. find $\vec{a}-\vec{b}+\vec{c}$ algebraically and graphically
2. find $3\vec{a}-\vec{c}+\vec{b}$ algebraically and graphically
###### Topic Notes
In this section, we will learn how to find the sum, as well as the difference between vectors algebraically and graphically. We will do so with two methods – the "Tip To Tail" method, and the "parallelogram method.