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krati jain
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Asked: 2023-05-22T08:36:00+00:00 In:

280. Find the spherical coordinates of A(2,3,-1) a) (3.74, 105.5⁰, 56.13⁰) b) (3.74, 105.5⁰, 56.31⁰) c) (3.74, 106.5⁰, 56.13⁰) d) (3.74, 106.5⁰, 56.31⁰)

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280. Find the spherical coordinates of A(2,3,-1) a) (3.74, 105.5⁰, 56.13⁰) b) (3.74, 105.5⁰, 56.31⁰) c) (3.74, 106.5⁰, 56.13⁰) d) (3.74, 106.5⁰, 56.31⁰)
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    5 Answers

    1. Answer: b
      Explanation: r = √(x2+y2+z2
      ) = √14 = 3.74
      Θ = cos-1
      (z/r) = cos-1
      (-1/3.74) = 105.5⁰
      Φ = tan-1
      (y/x) = tan-1
      (3/2) = 56.31⁰

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    3. Answer: b

      Explanation: r = √(x2+y2+z2

      ) = √14 = 3.74

      Θ = cos-1

      (z/r) = cos-1

      (-1/3.74) = 105.5⁰

      Φ = tan-1

      (y/x) = tan-1

      (3/2) = 56.31⁰.

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    4. Answer: b
      Explanation: r = √(x2+y2+z2
      ) = √14 = 3.74
      Θ = cos-1
      (z/r) = cos-1
      (-1/3.74) = 105.5⁰
      Φ = tan-1
      (y/x) = tan-1
      (3/2) = 56.31⁰

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    6. Answer: b
      Explanation: r = √(x2+y2+z2
      ) = √14 = 3.74
      Θ = cos-1
      (z/r) = cos-1
      (-1/3.74) = 105.5⁰
      Φ = tan-1
      (y/x) = tan-1
      (3/2) = 56.31⁰.

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    7. Answer: b
      Explanation: r = √(x2+y2+z2

      ) = √14 = 3.74

      Θ = cos-1
      (z/r) = cos-1

      (-1/3.74) = 105.50

      Φ = tan-1
      (y/x) = tan-1

      (3/2) = 56.310.

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