Consider in (x, y, z) space the vector field V(x, y,z) = (2x + 3y, 2y + 3x, –4z) and the function F(x,y,z) = a · x² + b•y² + c•z² +d •x • y, (x,y,z) E R³. a) Find constants a, b,c and d so that V = VF...

Extracted text: Consider in (x, y, z) space the vector field V(x, y,z) = (2x + 3y, 2y + 3x, –4z) and the function F(x,y,z) = a · x² + b•y² + c•z² +d •x • y, (x,y,z) E R³. a) Find constants a, b,c and d so that V = VF . b) Compute the tangential line integral of V along the right half of the unit circle in the (y, z) plane centered at (0,1,1) with an orientation of your choice.