Find the angles which the vector `veca` = `hati-hatj+sqrt2 hatk` makes with the coordinates axes.

Explanation

`veca` = `hati-hatj+sqrt2 k`
`|veca|` = `sqrt(1+1+2)` = 2
`hata` = `veca/|veca|` = `1/2hat-1/2hatj+1/sqrt2 k`
If `alpha,beta` and `gamma` are the angles made by `veca` with co-ordinate axes then `cosalpha` = `1/2,cosbeta` = -1/2 and `cosgamma` = `1/sqrt2`
therefore `alpha` = `pi/3,beta` = `2pi/3` and `gamma` = `pi/4`