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Math Help - orthognality of two surfaces.........

  1. #1
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    orthognality of two surfaces.........

    Hello,
    plz try to solve that question.Thanks
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  2. #2
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    Quote Originally Posted by m777 View Post
    Hello,
    plz try to solve that question.Thanks
    Hello,

    unfortunately I cann't offer you a solution.

    I've attached a diagram of both surfaces:

    x + y + z = 9 describes a sphere with the origin as it's center and the radius = 3

    z = x + y describes a double-cone with the origin as it's vertex .

    The locus where both surfaces intersect are 2 circles.

    To show that these surfaces are orthogonal you have to show that the normal vectors of the surfaces are orthogonal. You are refering to a "condition of orthogonality", so maybe you can use this condition.

    Hope this helps a little bit.
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