A point P(x ,y ,z) is such that 3P A=2P...

A point `P(x ,y ,z)` is such that `3P A=2P B ,` where `Aa n dB` are the point `(1,3,4)a n d(1,-2,-1),` irrespectivley. Find the equation to the locus of the point `P` and verify that the locus is a sphere.

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