Question

The rectangular component of a vector are 1,3 . the rectangular component of another vector are 2,2 . the angle between the vector is

Answer 1

$tan\ \alpha = \frac{3}{1} = 3 \\ \\ tan\ \beta = \frac{2}{2} = 1 \\ \\ tan (\alpha\ -\ \beta) = \frac{(tan\ \alpha - tan\ \beta )}{1 - tan\ \alpha\ tan\ \beta} \\ \\ \ \ \ = \frac{3 - 1}{1+3*1} \\ \\ \alpha - \beta = tan^{-1} \frac{1}{2}$