# Vector components - Scalars, Vectors and Motion

### Vector components

#### Lessons

###### 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. 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 