Q.1
Convert Cartesian coordinates (to Cylindrical and Spherical Coordinates.
  • a) (6.32, 71.565., 6.32) and (11, 71.565., 35.097)
  • b) (6.32, 71.565., 9) and (6.32, 71.565., 35.097)
  • c) (6.32, 71.565., 6.32) and (6.32, 35.097., 71.565)
  • d) (6.32, 71.565., 9) and (11, 35.097., 71.565)
Q.2
Convert the (coordinates to Cartesian coordinates which are in Spherical coordinates.
  • a) (5, 8.66, 10)
  • b) (5, 8.66, 0)
  • c) (10, 5, 8.66)
  • d) (0, 5, 8.66)
Q.3
Let there be a vector X = yz2 ax + zx2 ay + xy2 az. Find X at P(3,6,in cylindrical coordinates.
  • a) 100 ax – 398 ay + 108 az
  • b) 103 ax – 401 ay + 109 az
  • c) 105 ax – 393 ay + 105 az
  • d) 95 ax – 395 ay + 100 az
Q.4
Find the distance between two points A(5,60.,and B(10,90.,where the points are given in Cylindrical coordinates.
  • a) 4.19 units
  • b) 5.19 units
  • c) 6.19 units
  • d) 7.19 units
Q.5
What is the value of az . ar?
  • a) 1
  • b) cos⁡θ
  • c) sin⁡θ
  • d) 0
Q.6
Convert U = xyz + y + xz into Cylindrical coordinates.
  • a) zρ3sin⁡φ cos⁡φ + ρsin⁡φ + zρcos⁡φ
  • b) zρ2sin⁡φ cos⁡φ + ρsin⁡φ + zρcos⁡φ
  • c) zρ3sin⁡φ cos⁡φ + ρ2sin⁡φ + zρcos⁡φ
  • d) zρ2sin⁡φ cos⁡φ + ρ2sin⁡φ + zρcos⁡φ
Q.7
Find the distance between A(30,and B(90).
  • a) 4
  • b) 5
  • c) 6
  • d) 7
Q.8
What is the value of ar.ax?
  • a) sin⁡θ cos⁡φ
  • b) sin⁡θ sin⁡φ
  • c) cos⁡θ cos⁡θ
  • d) cos⁡φ sin⁡θ
Q.9
Express V in terms of Spherical coordinates where V = x + y+ z3x.
  • a) rsin⁡θ cos⁡φ + r3sin⁡θ2 sin⁡φ cos⁡θ + r4sin⁡θ cos⁡θ3 cos⁡φ
  • b) rsin⁡θ cos⁡φ + r2sin⁡θ3 sin⁡φ cos⁡θ + r4sin⁡θ cos⁡θ3 cos⁡φ
  • c) rsin⁡θ cos⁡φ + r3sin⁡θ2 sin⁡φ cos⁡θ + r4sin⁡θ cos⁡θ2 cos⁡φ
  • d) rsin⁡θ cos⁡φ + r3sin⁡θ3 sin⁡φ cos⁡θ + r4sin⁡θ cos⁡θ2 cos⁡φ
0 h : 0 m : 1 s