# Operations on vectors in magnitude and direction form - Vectors

### Operations on vectors in magnitude and direction form

By now we should be able to add or subtract vectors if we are given their components, but what if we are only given their magnitudes and direction angles instead? In this section, we will learn how to perform operations on vectors presented in magnitude and direction form, using the "three-steps approach".

###### Basic concepts:

- Pythagorean theorem
- Use sine ratio to calculate angles and side (Sin = $\frac{o}{h}$ )
- Use cosine ratio to calculate angles and side (Cos = $\frac{a}{h}$ )
- Use tangent ratio to calculate angles and side (Tan = $\frac{o}{a}$ )

###### Related concepts:

- Polar form of complex numbers