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

Let a and b be two unit vectors such that a b=0.

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

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