Finding the Normal to a Plane Using Vector Geometry

AI Thread Summary
To find the normal to a plane using vector geometry, start with three points on the plane. Fix one point and create two vectors from this point to the other two points. The normal vector can then be determined by calculating the cross-product of these two vectors. This method effectively provides the perpendicular direction to the plane defined by the three points. Understanding this process is crucial for mastering vector geometry concepts.
bobmoin
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Hi all,

Am trying to teach myself vector geometry but don't quite understand certain things.

If you are know three points on a plane, how do you find the normal to the plane?
 
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bobmoin said:
Hi all,

Am trying to teach myself vector geometry but don't quite understand certain things.

If you are know three points on a plane, how do you find the normal to the plane?
Fix one of your points, and then find the two vectors going from that point to one of the other points.

Then, the normal is found by taking the cross-product of those two vectors.
 

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