F = (y³, –a³, xyz). Find V x F. Let S be the surface parametrized by F(u, v) = (cos(u), sin(u), v) on the region {(u, v)| u > 0, v > 0, 2u + 3v < 6}. Set up the integral for //(7 x F) · īdS in terms of u, v. Do not evaluate.

Let f(x,y,z)=-x^2+sin(y)-2z^2=0 define a surface in 3 dimensions. Find the equation of the normal line to the surface in 3 dimensions.  Find a point which is at a distance of 4 from the tangent plane at the point (2pi, 0, 3/2).  Hint: you have the normal to this plane.....).

Evaluate the line integral [F.dr where Y F(x, y, z)=(x + yz, x + z, xy) and y: line segment from (2,0,3) to (4,2,6)

Please explain a, b, and c in a readable way!