Question 1
True or False: If a point P has spherical coordinates [1, φ, θ] and cylindrical coordinates [r,
, r], then
.
◦ true
◦ false
Question 2
Convert the cylindrical coordinates [2
,
, - 2] to Cartesian coordinates and to spherical coordinates.
◦ (x, y, z) = (
, 3, - 2), [ R, φ, θ] = [ 4,
,
]
◦ (x, y, z) = (-
, 3, - 2), [ R, φ, θ] = [ 4,
,
]
◦ (x, y, z) = (3,
, - 2), [ R, φ, θ] = [ 4,
,
]
◦ (x, y, z) = (-
, - 3, - 2), [ R, φ, θ] = [ 4,
,
]
◦ (x, y, z) = (-3, -
, - 2), [ R, φ, θ] = [ 4,
,
]