# Two vectors are given by a = 3.3 x - 6.4 y and b = -17.8 x + 5.1 y. What is the magnitude of a?

##### 1 Answer

Jan 28, 2016

The magnitude (length) of a vector in two dimensions is given by:

#### Explanation:

To find the length of a vector in two dimensions, if the coefficients are

This might be vectors of the form

Interesting side note: for a vector in 3 dimensions, e.g.

In this case, the coefficients are