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Coordinates of a point that touches the ellipsoid

  1. Jan 18, 2009 #1
    The problem statement, all variables and given/known data

    I have an ellipsoid with center (000). There is a point A inside the ellipsoid with known coordinates(1,2,3) I draw a line from center to point A and extend it to cut the ellipsoid on on point p(x,y,z).

    2. Relevant equations

    I want to find the coordinates of point P(x,y,z)

    3. The attempt at a solution

    The equation of ellipsoid for p is x^2/a^2+y^2/b^2+z^2/c^2=1
    i have the values of a,b and c
    i want to know if the ellipsoid equation is applicable to coordinates of A and coordinates of P

    and how can i create equation using the coordinates of p with the coordinates of A
    by equation of line method as both the points lie on a straight line with one end on (000) as the third point.
  2. jcsd
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