A point in Cartesian coordinates is given by P(0,2,1). (a) Express it in cylindrical coordinates. Express it in spherical coordinates. (b) Given point P(1,-2,4) and vector = z + (x+y).. Express Pand A in cylindrical coordinates. Express Pand A in spherical coordinates. Evaluate A at P in Cartesian system. Evaluate at P in cylindrical system. Evaluate A at P in spherical system. (a) (b) (c) (d) (e) Let vector A=-, +2rcos f, +3. (a) Express the vector A in rectangular coordinates. (b) Express the vector in cylindrical coordinates. Find A(2,0,1). (c) (d) Find A (4-1). Two uniform vector fields are given by E=-3, +5, +2, and F = 2a, +3, -5a,. Find ExF.