If \( \cos ^{-1} x+\cos ^{-1} y+\cos ^{-1} z=\pi \), then
(A) \( x^{2}+y^{2}+z^{2}+x y z=0 \)
(B...
If \( \cos ^{-1} x+\cos ^{-1} y+\cos ^{-1} z=\pi \), then
(A) \( x^{2}+y^{2}+z^{2}+x y z=0 \)
(B) \( x^{2}+y^{2}+z^{2}+x y z=1 \)
(C) \( x^{2}+y^{2}+z^{2}+2 x y z=0 \)
(D) \( x^{2}+y^{2}+z^{2}+2 x y z=1 \)
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