# Introduction to vectors

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##### Examples
###### Lessons
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
1. For the following vectors, express them in component form, matrix form, and rectangular form

1. $\vec{p}$
2. $\vec{q}$
3. $\vec{v}$
4. $\vec{w}$
2. For the following vectors, express them in component form, matrix form, and rectangular form

1. $\vec{v}$
2. $\vec{w}$
3. $\vec{r}$
###### Topic Notes
The notion of vectors can be easily found in our daily surroundings – from airplane navigation to trajectories of balls during a sports game, to movements of a character you maneuver in your video games. In this section, we will learn about the graphical, and mathematical representation of a vector, as well as how to distinguish the differences between a scalar quantity and a vector quantity.
Vector Quantity: a quantity having (positive) magnitude and (one) direction
Scalar Quantity: a quantity having only magnitude but not direction
Two – Dimensional Vectors: