The equation in space of a plane containing the point (x1, y1, z1) can be written asl(x- x...

The equation in space of a plane containing the point (x1, y1, z1) can be written as

l(x- x1) + m(y - y1)+ p(z - z1) = 0,

where l, m, and p are direction cosines of a unit normal to the plane:

an = axl + aym + azp.

Given a vector field F = ax + ay2 + az3, evaluate the integral  over the square plane surface whose corners are at (0, 0, 2), (2, 0, 2), (2, 2, 0), and (0, 2, 0).