Introduction to vectors

Lessons

Vector Quantity: a quantity having (positive) magnitude and (one) direction
Scalar Quantity: a quantity having only magnitude but not direction
Two – Dimensional Vectors:

• Introduction

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• 1.
  Which of the following is/are a vector?
  i)

  $50$ miles per hour north
  ii)

  $\sqrt{40 } km/s^2$
  iii)

  $-43.1^{\circ} C$
  iv) $5641\; ft^3$
  v)

  $32$ Newton at $98^{\circ}$ west of north

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• 2.
  For the following vectors, express them in component form, matrix form, and rectangular form
  
  
  
  a)

  $\vec{p}$
  
  
  b)

  $\vec{q}$
  
  
  c)

  $\vec{v}$
  
  
  d)

  $\vec{w}$
  
  

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• 3.
  For the following vectors, express them in component form, matrix form, and rectangular form
  
  
  
  a)

  $\vec{v}$
  
  
  b)

  $\vec{w}$
  
  
  c)

  $\vec{r}$
  
  

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