4. At point T(2,3,-4), express az in the spherical system and ar in the rectangular system.

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4. At point T(2,3,-4), express az in the spherical system and ar in the rectangular system.
5. Given the two points, C(-3, 2, 1) and D(r =5, 0 =20°, p= -70°), find:
(a) the spherical coordinates of C;
(b) the rectangular coordinates of D;
(c) the distance from C to D.
6. Transform the following vectors to spherical coordinates at the points given:
(a) 10ax at P(x=-3, y=2, z=4);
(b) 10ay at Q(p=5, P=30°, z=4);
(c) 10az at M(r=5, 0=110°, p=120°).
Transcribed Image Text:4. At point T(2,3,-4), express az in the spherical system and ar in the rectangular system. 5. Given the two points, C(-3, 2, 1) and D(r =5, 0 =20°, p= -70°), find: (a) the spherical coordinates of C; (b) the rectangular coordinates of D; (c) the distance from C to D. 6. Transform the following vectors to spherical coordinates at the points given: (a) 10ax at P(x=-3, y=2, z=4); (b) 10ay at Q(p=5, P=30°, z=4); (c) 10az at M(r=5, 0=110°, p=120°).
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