Question

What is the angle between `<7 , 3 , -3 >` and `< 8 , 6 , 8 >`?

Answer 1

`theta~~61.51^@`

Explanation:

Use formula
`costheta=(a*b)/(|a||b|)`

`cos theta=(<7,3,-3>*<8,6,8>)/(sqrt(7^2+3^2+(-3)^2)sqrt(8^2+6^2+8^2)`

`costheta=(56+18-24)/(sqrt67sqrt164)`

`costheta=50/(sqrt10988`

`theta=cos^-1(50/(sqrt10988))`

`theta~~61.51^@`