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in Vector algebra by (52.5k points)

Let a and b be two unit vectors such that a. b = 0. For some x, y ∈ R, let c = xa + yb + (a x b). If |c| = 2 and the vector c  is inclined at the same angle α to both a and b, then the value of 8cos2α is .....

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It is given that

Since a and b be two unit vectors such that a.b = 0. Then (a x b) = 1

Since a and b  be two unit vectors such that a.b = 0. Then, (a x b) = 1

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