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Math Help - 3D Coordinate Systems

  1. #1
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    3D Coordinate Systems

    Find the distance from (3,7,-5) to each of the following:

    a)xy-plane
    b)xz-plane

    Can someone explain to me how this is done? there are parts c-f to all different planes and I want to see how it is done to a) and b) thanks.

    2) Find an equation of a sphere if one of its diameters has endpoints (2,1,4) and (4,3,10).
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    use the distance formula for a) and b)
    Quote Originally Posted by xfyz View Post
    Find the distance from (3,7,-5) to each of the following:

    a)xy-plane
    find the distance between (3,7,-5) and (3,7,0)

    we eliminated the z-component for the quickest way to the xy-plane


    b)xz-plane
    find the distance between (3,7,-5) and (3,0,-5)

    we eliminated the y-component for the quickest way to the xz-plane


    2) Find an equation of a sphere if one of its diameters has endpoints (2,1,4) and (4,3,10).
    use the midpoint formula for the two points. this will give you the center of the sphere. use the distance formula for the distance between the two points. half this distance is the radius

    then you know the equation of a sphere: (x - a)^2 + (y - b)^2 + (z - c)^2 = r^2

    where (a,b,c) is the center and r is the radius
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