Adding and subtracting vectors in component form

Lessons

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 $2\vec{v}-\vec{t}-3\vec{w}$
3. 
   
   
   1. find $\vec{p}+\vec{q}$ graphically and algebraically
   2. find $2\vec{q}+\vec{p}$ graphically and algebraically
4. 
   
   
   1. find $\vec{p}-\vec{q}$ graphically and algebraically
   2. find $\vec{q}-\frac{1}{2} \vec{p}$ graphically and algebraically
5. 
   
   
   1. find $\vec{a}-\vec{b}+\vec{c}$ algebraically and graphically
   2. find $3\vec{a}-\vec{c}+\vec{b}$ algebraically and graphically