Question

What is the angle between `<4,7,1 >` and `<9,5,4>`?

Answer 1

`33.30^o` approx

Explanation:

The formula for angle between two vectors a and b is `cos theta=(a.b)/(|a| |b|)`

Here `a.b` is (4.9)+(7.5)+(1.4)= 75

`|a| = sqrt(4^2 +7^2 +1^2)= sqrt 66`

`|b|= sqrt(9^2 +5^2 +4^2)= sqrt122`

`cos theta = (75)/((sqrt66)(sqrt122))`
= 0.83581

`theta = 33.30^o` approx