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If P(1) and P(2) are the perpendicular o...

If `P_(1) and P_(2)` are the perpendicular of the points with position vectors `veca = 3veci - 5 hatj+8hatk` and
`vecb = 2veci - 41 hatj+ 21hatk` from the plane `vecr cdot (2hati + 3hatj -hatk)=12, `then `P_(1)^(2)+P_(2)^(2)`is equal to __________.

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