# Vector components - Scalars, Vectors and Motion

### Vector components

#### Lessons

###### Notes:

In this lesson, we will learn:

- What are x and y components?
- How to break a vector into its components
- Problem solving with vector components

__Notes:__-
__Components__of a vector are other vectors that add up tip-to-tail give you the original vector.- The
__x and y components__of a vector are the components that are pointed directly in the x and y directions, respectively, and are useful for solving problems. - The x and y components can be found with trigonometry, since they always form a right triangle with the original vector.

- The

**Right Triangle Trigonometric Equations**

$\sin(\theta) = \frac{opp.}{hyp.}$

$\cos(\theta) = \frac{adj.}{hyp.}$

$\tan(\theta) = \frac{opp.}{adj.}$

$a^{2}+b^{2}=c^{2}$ (Pythagorean theorem)

$\theta$: angle, in degrees (°)

$opp.$: side opposite angle

$adj.$: side adjacent angle

$hyp.$: hypotenuse of triangle (longest side, side opposite 90° angle)

$a$ and $b$: non-hypotenuse sides of triangle

$c$: hypotenuse of triangle