Question

Give the two point C(-3,2,1) and D(5,20,-70) find the spherical coordinates of c​

Answer 1

Explanation:

Given the two points, C(-3, 2, 1) and D(r = 5, theta = 20 degree, phi = -70 degree),

find: the spherical coordinates of C; the rectangular coordinates of D; the distance from C to D.

Transform the following vectors to spherical coordinates at the points given: 10a_x at P(x = -3, y = 2, z = 4); 10a_y at Q(rho = 5, phi = 30 degree, z = 4); 10a_z at M(r = 4, theta = 110 degree, phi = 120 degree). A vector field is specified as G = 24xya_x + 12(x^2 + 2)a_ y + 18z^2a_z. Given two points, P(1, 2, -1) and Q(-2, 1, 3), find: G at P; a unit vector in the direction of G at Q; a unit vector directed from Q toward P. Given the point P(r = 0.8, theta = 30 degree, phi = 45 degree), and E = 1/r^2 (cos phi a_ r + sin phi/sin theta a_ phi); find E at P; find |E| at P; find a unit vector in the direction of E at P.

Answer 2

Answer:

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