# A force is given as F=x+5y-z. How do you calculate the magnitude of the force in the direction of the vector A=-3x+2y-2z?

##### 1 Answer

Aug 8, 2018

#### Answer:

#### Explanation:

We can use dot products!

In general,

where

This may be easier to see if we just think of normalizing

Using the first equation, we can easily calculate both known values:

hence

our final answer.