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Let \( x, y, z \) be the vector, such that \( |x|=|y|=|z|= \)
\( \mathrm{P} \) \( \sqrt{2} \) and \( x, y, z \) make angles of \( 60^{\circ} \) with each other

W also, \( x \times(y \times z)=a \) \( \mathrm{y} \times(\mathrm{z} \times \mathrm{x})=\mathrm{b} \) and \( \mathrm{x} \times \mathrm{y}=\mathrm{c} \), then The value of \( z \) is
(1) \( \frac{1}{2}[(b-a) \times c+(a+b)] \)
(2) \( \frac{1}{2}[(b-a)+(a+b) \times c] \)
(3) \( [(b-a) \times c+(a+b)] \)
(4) None of these
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