# How do you find the magnitude of <-15,-12> and write it as a sum of the unit vectors?

##### 1 Answer

May 3, 2017

See below

#### Explanation:

The way to find the magnitude is to take the square root of the sum of the squares of the elements in the vectors.

If a vector is

This is true no matter how many dimensions the vector is (means that the vector can go on forever: <a,b,c,d....> and you are going to do the same)

So for this vector, you can apply that formula:

Unit vector means that you want to have a vector with a magnitude of 1 in the same direction, and you can get that by dividing each element of the vector by the magnitude.

So we have:

Simplifying made it

Hope that helps!