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Quiz 1
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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) cosθ
c) sinθ
d) 0
Q.6
Convert U = xyz + y + xz into Cylindrical coordinates.
a) zρ3sinφ cosφ + ρsinφ + zρcosφ
b) zρ2sinφ cosφ + ρsinφ + zρcosφ
c) zρ3sinφ cosφ + ρ2sinφ + zρcosφ
d) zρ2sinφ cosφ + ρ2sinφ + zρcosφ
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) sinθ cosφ
b) sinθ sinφ
c) cosθ cosθ
d) cosφ sinθ
Q.9
Express V in terms of Spherical coordinates where V = x + y+ z3x.
a) rsinθ cosφ + r3sinθ2 sinφ cosθ + r4sinθ cosθ3 cosφ
b) rsinθ cosφ + r2sinθ3 sinφ cosθ + r4sinθ cosθ3 cosφ
c) rsinθ cosφ + r3sinθ2 sinφ cosθ + r4sinθ cosθ2 cosφ
d) rsinθ cosφ + r3sinθ3 sinφ cosθ + r4sinθ cosθ2 cosφ
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