Prove that-vec-P-times vec-Q-hat-k-P-xQ-y-hat-j-P-xQ-z-hat-k-P-yQ-x-O-hat-i-P-yQ-z-hat-j-P-zQ-x-hat-i-P-zQ-y-

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Question

Prove that:
$\to P \times \to Q = (^k) P_{x} Q_{y} + (-^j) P_{x} Q_{z} + (-^k) P_{y} Q_{x} + O +^i P_{y} Q_{z} + (^j) P_{z} Q_{x} + (-^i) P_{z} Q_{y}$ .

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