Find the equation of a plane passing thr...

Find the equation of a plane passing through the points A(2,1,2) and B(4,-2,1) and perpendicular to plane `vec(r ).(hat(i)-2hat(k))=5`. Also, find the coordinates of the point, where the line passing through the points (3,4,1) and (5,1,6) crosses the plane thus obtained.

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