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Let a =alpha1 bar i +alpha2 bar j +a...

Let ` a =alpha_1 bar i +alpha_2 bar j +alpha_3 bar k , bar b =beta_1 bar i +beta_2bar j+beta_3k bar and bar c =gamma_1 bar i +gamma_2 bar j +gamma_3 bar k ,| bar a |=2sqrt(2), bar a` makes an angle `pi/3` with the plane of `bar b,bar c` and the angle between `bar b,bar c` is `pi/6` , then `|(alpha_1,alpha_2,alpha_3),(beta_1,beta_2,beta_3),(gamma_1,gamma_2,gamma_3)|` is equal to (n is even natural number)

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