# How do you find the inner product and state whether the vectors are perpendicular given #<8,4>*<2,4>#?

##### 1 Answer

Jun 28, 2016

The inner product gives

#### Explanation:

The inner product of two vector (of equal length, of course), is simply given by the sum of the products of the coordinates with same index.

In generale, if you have two vectors

Furthermore, two vectors are said to be perpendicular if their inner product is zero, i.e.

In your case, the inner product is

and so the vectors are not perpendicular.

Note: if your change the sign of any of the four coordinates, they actually become perpendicular: for example,