# 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?