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Let vec(alpha),vec(beta) and vec(gamma b...

Let `vec(alpha),vec(beta)` and `vec(gamma` be the unit vectors such that `vec(alpha)` and `vec(beta)` are mutually perpendicular and `vec(gamma)` is equally inclined to `vec(alpha)` and `vec(beta)` at an angle `theta`. If `vec(gamma)=xvec(alpha)+yvec(beta)+z(vec(alpha)xxvec(beta))`, then which one of the folllowing is incorrect?

A

`z^2=1-2x^2`

B

`z^2=1-2y^2`

C

`z^2=1-x^2-y^2`

D

All the above

Text Solution

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The correct Answer is:
D
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