- #1
mmh37
- 59
- 0
Hello!
I am trying to find the normal to an ellipsoid of the form
[tex] x^2/a^2 + y^2/b^2 + z^2 = 1 [/tex]
What I did is the following: Let
[tex] psi = x^2/a^2 + y^2/b^2 + z^2 [/tex]
then grad psi (and thus the normal) is:
[tex] grad (psi) = (2x/a^2, 2y/b^2, 2z) = n [/tex]
Could anyone tell me whether that is the correct approach to find the normal to an ellipsoid? Thanks a lot!
I am trying to find the normal to an ellipsoid of the form
[tex] x^2/a^2 + y^2/b^2 + z^2 = 1 [/tex]
What I did is the following: Let
[tex] psi = x^2/a^2 + y^2/b^2 + z^2 [/tex]
then grad psi (and thus the normal) is:
[tex] grad (psi) = (2x/a^2, 2y/b^2, 2z) = n [/tex]
Could anyone tell me whether that is the correct approach to find the normal to an ellipsoid? Thanks a lot!