Let a and b be two unit vectors such that a b =0. For some x,y R , let c =x a +y b +( a b ). If | c |=2 and...

Question

Let a and b be two unit vectors such that a b =0. For some x,y R , let c =x a +y b +( a b ). If | c |=2 and the vector c is inclined at the same angle to both a and b , then the value of 8 ^2 is _____.

Accepted Answer

3

JEE Advanced 2018 Mathematics question

Solution

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