Question

What is the angle between `<-4,9,4>` and `< -2,0,4 >`?

Answer 1

`cos theta=(<-4,9,4>*<-2,0,4>)/((sqrt((-4)^2+9^2+4^2))(sqrt((-2)^2+4^2))`
`theta=cos^-1 (24/sqrt2260)=59.68^@`

Explanation:

To find the angle between the vectors first find the dot product of the vectors then divide that by the product of the magnitude of the vectors. Finally, take the cosine inverse of that answer to get theta