- #1
JonNash
- 30
- 0
The equation of a tangent plane at the point (1/sqrt3, -1/sqrt3, 1/sqrt3) for a unit sphere with center at origin.
I'm studying for an entrance and this is in the previous question paper MCQ. I've been trying to solve this by studying similar problems but somehow I think the solution here is simpler and does not need gradients to solve. Some of the threads pointed to the possibility that the surface normal vector is given by (2x,2y,2z), but it leads me to no solution. I've tried another solution where the surface normal (not normalized) is given by
P(ø,θ) = (sinøcosθ, sinøsinθ, cosø)
and the vector product of partial derivatives of the above are used but its making no sense to me. Could you please help me out.
Thanks
I'm studying for an entrance and this is in the previous question paper MCQ. I've been trying to solve this by studying similar problems but somehow I think the solution here is simpler and does not need gradients to solve. Some of the threads pointed to the possibility that the surface normal vector is given by (2x,2y,2z), but it leads me to no solution. I've tried another solution where the surface normal (not normalized) is given by
P(ø,θ) = (sinøcosθ, sinøsinθ, cosø)
and the vector product of partial derivatives of the above are used but its making no sense to me. Could you please help me out.
Thanks