Adding and subtracting vectors in component form

Lessons

• Introduction

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• 1.
  Given the vectors $\vec{v}=$<$4,-3$>, $\vec{w}=$<$-1,9$> and $\vec{t}=$<$2,5$>,
  a)

  find $\vec{v}+\vec{v}$
  
  
  b)

  find $\vec{v}+\vec{w}$
  
  
  c)

  find $5\vec{v}+2\vec{w}+3\vec{t}$
  
  

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• 2.
  Given the vectors $\vec{v}=$<$5,5$>, $\vec{w}=$<$-2,-3$> and $\vec{t}=$<$4,-7$>,
  a)

  find $\vec{v}-\vec{v}$
  
  
  b)

  find $\vec{v}-\vec{w}$
  
  
  c)

  find $2\vec{v}-\vec{t}-3\vec{w}$
  
  

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• 3.
  
  
  
  a)

  find $\vec{p}+\vec{q}$ graphically and algebraically
  
  
  b)

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

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• 4.
  
  
  
  a)

  find $\vec{p}-\vec{q}$ graphically and algebraically
  
  
  b)

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

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• 5.
  
  
  
  a)

  find $\vec{a}-\vec{b}+\vec{c}$ algebraically and graphically
  
  
  b)

  find $3\vec{a}-\vec{c}+\vec{b}$ algebraically and graphically
  
  

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