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.