# What is the dot product of #<5,1,-7># and #<8,4,9>#?

##### 2 Answers

Jan 3, 2016

The dot product of two three dimensional vectors is defined as

In our case

hence

Jan 3, 2016

#### Explanation:

To do the dot product, you multiply together the corresponding components, and then sum the results. In general:

So in your case: