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how to restore front view of inclined plane from 3 vector projections

I see some plane P in my image I(x,y),which has unknown angle with my image plane. In my image I I can extract 3 projections of vectors a, b ,c, all them are perpendicular to each other in real 3D, so that a and b lie in that plane P, and c is normal to that plane. I do not have that vectors directly, but only their projections to my image plane. How can I get frontal view of that plane P from that vectors projections, if it is possible?