What function do you use to find the angle of a vector, when you know its components?

Step-by-step explanation:

If we are given components of a vector then we can find the angle between them.

Suppose we are given a vector v

Where x is the horizontal component and y is the vertical component.

The angle can be found by using

The magnitude of the vector v can be found using

Example:

Lets do a quick example:

The angle of the vector is

The magnitude of the vector is

step-by-step explanation:

y = | -2(-2) |     →     y = | 4 |     →     y = 4       ⇒   (-2, 4)

y = | -2(-1) |     →     y = | 2 |     →       y =   2       ⇒   (-1, 2)    

y = | -2(0) |     →     y = | 0 |     →       y = 0         ⇒   (0, 0)

y = | -2(1) |   c →     y = | -2 |     →     y =   2         ⇒   (1, 2)    

y = | -2(2) |     →     y = | - 4 |     →     y =   4         ⇒   (2, 4)