Please solve a,b and c part correctly in one hour please show neat and clean work
Extracted text: Question 6 A charged particle moving in a magnetic field will experience a magnetic force. Suppose that the magnetic force experienced by the moving charged particle can be described by the vector field F(x, y) = (а) Evaluate F(0,1), F(1,0), F(0,2), F(2,0), F(1,1), F(2,2), F(1,2), F(2,1). (b) Describe F by sketching the vectors from Question 6(a) in the first quadrant plane. (c) Determine if F is a conservative vector field. Given that the charged particle is moving along the straight line from (3, - 3) to (0,3), as represented by the solid line in the figure below. (d) (0, 3) (0, 0) X, (3, -3) Figure 06(d) Calculate the work done by the magnetic force given by the integral F.dr, where C is the straight line from (3,-3) to (0,3). Now, consider the polygonal region with vertices (0, 3), (0,0) and (3, - 3) as shown in the figure above (the region bounded by the dotted and solid lines), use Green's Theorem to calculate the work done (e) where C is the straight line described in Question 6(d).