veca, vecb, vecc are unit vectors such t...

`veca, vecb, vecc` are unit vectors such that if the angles between the vectors `veca` and `vecb`, `vecb` and `vecc`, `vecc` and `veca` are respectively `pi/6, pi/4` and `pi/3`, then find out the angle the vector `veca` makes with the plane containing `vecb` and `vecc` is

A

`cos^(-1)sqrt([2-(sqrt[3/2])])`

B

`sin^(-1).(2)/(3)`

C

`sin^(-1).(1)/(4)`

D

`sin^(-1)sqrt((2)/(3))`

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The correct Answer is:

A

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