Given unit vectors `hatm hatn and hatp` such that angle between `hatm and hatn is alpha` and angle between `hatp and hatm X hatn is alpha `if [n p m] = 1/4 find alpha

Explanation

`[hatn hatp hatm] = [hatp hatm hatn] `
` = hatp . (hatm xxhatn)`
`= |hatp|.|hatm xx hatn|cos alpha`
`= |hatm xx hatn| cos alpha`
`= sin alpha cos alpha = 1//4`
`Rightarrow sin 2 alpha = 1//2`
` or 2 alpha = 30^(@)`
`or alpha = 15 ^(@)`