a) Given a vector field à = zỹ +(3y + 2)2 î in cartesian
coordinates, determine whether it is solenoidal (V · À = 0),
conservative (D x X = 0)
I Div x A (Cylinderical Coordinates)
ii) Calculate integral A*dl , where the contour C is the unit
circle (r=1) traversed in anticlockwise direction
Consider the following planes. 5x − 3y + z = 2, 3x + y − 5z = 4
(a) Find parametric equations for the line of intersection of the
planes. (Use the parameter t.) (x(t), y(t), z(t)) = (b) Find the
angle between the planes. (Round your answer to one decimal
place.)