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how to solve A2 PURE MATHS 32/MJ/12 - Q10 VECTOR QUESTION...URGENT!!!

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bluee13

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It's Q10 (III) , given plane m - x+2y-2z=1, plane n - 2x-2y+z=7 , line L - r = i+j-k + T(2i+j+2k)

question: a point P lying on L is such that its perpendicular distances from m and n are equal. find the position vector of the 2 possible positions for P and calculate the distance between them.

I'll be appreciate if anyone could help me !!
 
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