Evaluate where, and is a triangular surface with vertices (2,0,0) , (0,2,0) and (0,0,4)
My attempt :
The equation of the triangular plane :
The normal surface vector :
Unit normal surface vector :
Projecting the triangle plane on xy plane,
As the projection is on xy plane, z=0
On integration, S=2
The correct solution however is
Please let me know where my logic is wrong.
Thank you.