Hello,, how do you find 3 planes(p1,p2,p3) given a point of intersection (2,3,4,)? Thanks!

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- Mar 23rd 2009, 02:04 PMKeepplanes
Hello,, how do you find 3 planes(p1,p2,p3) given a point of intersection (2,3,4,)? Thanks!

- Mar 23rd 2009, 02:22 PMPinkk
One elementary example is simply the $\displaystyle yz, xz, xy$ planes (they all intersect at the point $\displaystyle (0,0,0)$), and their respective equations are $\displaystyle x=0,y=0,z=0$.

Three planes that intersect at any point $\displaystyle (a,b,c)$ are $\displaystyle x=a,y=b,x=c$. Three planes that intersect at $\displaystyle (2,3,4)$ are $\displaystyle x=2,y=3,z=4$. - Mar 23rd 2009, 03:11 PMHallsofIvy
- Mar 25th 2009, 12:30 PMKeep
And how does one get the implicit form (Hessian form) of the planes?