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# intersection point of 3 planes ??

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Hello, The intersection of 2 planes is a line, and of 3 planes is a point (assuming none of the planes are parallel). I stumbled accross a formula for the intersection of 3 planes at http://folk.uio.no/stefanha/MAPFiles.pdf which looks something like this: -d1(n2 X n3) -d2(n3 X n1) -d3(n1 X n2) _____________________________________ n1 dot( n2 X n3) ,but the result of this is obviously a Vector, not a Point. That doesnt make sense, does it? I was unable to find any other formulas for the intersection of 3 planes, so could someone maybe point me to one that actually works? thanks!

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I dont understand the formula, but a Vector is made of an x, a y, and a z. So why the hell cant that vector be a point?

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You have 3 formulas:

a1*x + b1*y + c1*z + d1 = 0
a2*x + b2*y + c2*z + d2 = 0
a3*x + b3*y + c3*z + d3 = 0

Three unknown variables x,y,z and three formulaes. Just solve x,y and z

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Yeah, point is a vector from origin to the point. So point is presented as vector.

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