Geometry: Planes, x+y+z=0 - How Does It Work?

binbagsss · Mar 12, 2012

I do not understnad how x+y+z=0 can be a plane, I thought a plane has 2 dimensions, this is all :) thanks.

Vorde · Mar 12, 2012

A plane is a two dimensional object, but it can be rotated into three dimensions. Another way of looking at it is that you only need two coordinates to express a point on the plane (hence it being 2-dimensional), but it can be embedded in a space consisting of an arbitrary amount of dimensions, in which case you could need more variables to express it.

binbagsss · Mar 12, 2012

Vorde said:

A plane is a two dimensional object, but it can be rotated into three dimensions. Another way of looking at it is that you only need two coordinates to express a point on the plane (hence it being 2-dimensional), but it can be embedded in a space consisting of an arbitrary amount of dimensions, in which case you could need more variables to express it.

Ahh of course - cheers !

Geometry: Planes, x+y+z=0 - How Does It Work?

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Geometry: Planes, x+y+z=0 - How Does It Work?

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