planes

**Keep** · March 23rd 2009, 02:04 PM

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

**Pinkk** · March 23rd 2009, 02:22 PM

One elementary example is simply the $yz, xz, xy$ planes (they all intersect at the point $(0,0,0)$ ), and their respective equations are $x=0,y=0,z=0$ .

Three planes that intersect at any point $(a,b,c)$ are $x=a,y=b,x=c$ . Three planes that intersect at $(2,3,4)$ are $x=2,y=3,z=4$ .

**HallsofIvy** · March 23rd 2009, 03:11 PM

Originally Posted by Keep

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

There exist an infinite number of planes passing through any given point. Given any point $(x_0,y_0,z_0)$ , three planes that intersect there that are particularly easy are $x= x_0$ , $y= y_0$ , and $z= z_0$ .

**Keep** · March 25th 2009, 12:30 PM

And how does one get the implicit form (Hessian form) of the planes?

Thread: planes

LinkBack

Thread Tools

Display

planes

Similar Math Help Forum Discussions

Angle between planes and line of intersection of planes.

Parallel planes and intersecting planes

Planes

Planes in 3-space; Equations of planes

planes

Search Tags