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Write a unit vector in the direction of ` vec P Q ,\ w h e r e\ P\ a n d\ Q` are the points (1, 3, 0) and (4, 5, 6) respectively.

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Find the locus of P\ if\ P A^2+P B^2=2k^2w h e r e\ A\ a n d\ B are points (3,4,5) and (-1,3,7).

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