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Math Help - sphere

  1. #1
    Member Veronica1999's Avatar
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    sphere

    On the sphere x squared + y squared +z squared=13squared, there are many great circles that intersect at (3,4-12). Find coordinates for the other points where these circles all intersect.

    i am not sure I understand this problem.
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  2. #2
    MHF Contributor Siron's Avatar
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    Re: sphere

    Do you know the definition of a 'great circle'?
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  3. #3
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    Re: sphere

    Hello, Veronica1999!

    On the sphere x^2+y^2+z^2\:=\:13^2
    . . there are many great circles that intersect at (3,4-12).
    Find coordinates for the other points where these circles all intersect.

    i am not sure I understand this problem.

    Consider the planet Earth.
    There are many circles of longitude (which are all great circles)
    . . from the Prime Meridian to the International Date Line.
    They all intersect at the North Pole and the South Pole.

    We are given a sphere.
    The point (3, 4, -12) is a "pole" of this globe.
    The other pole is diametrically opposite.
    Where is it?

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  4. #4
    Super Member TheChaz's Avatar
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    Re: sphere

    China.
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  5. #5
    Member Veronica1999's Avatar
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    Re: sphere

    Then it would be (-3, -4, 12) ?
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  6. #6
    MHF Contributor Siron's Avatar
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    Re: sphere

    Right!
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