Determine an orthogonal coordinate system contained in the plane

jonathansata

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Nov 26, 2017
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Hi, i need to solve the next algebra question:

Consider the following points in space R3: A (1,1,1), B (3,2,1) and C (2,3,2).
Determine an orthogonal coordinate system whose axes X and Y are contained in the plane formed by points A, B, and C.


Tip: The product vector between two vectors results in a vector orthogonal to the original vectors.
 
Typically, one would find two vectors in the plane and use these to advantage to accomplish the task. Show us how far you get with that.
 
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