I am doing a presentation on the 3-point problem in Geology. We have to use Cramers Rule to solve for the equation of a plane. I can do it no problem, but since I have to present it, I want to be prepared to answer all questions my teacher may ask. For example:(adsbygoogle = window.adsbygoogle || []).push({});

Why is the equation of a plane written like this

| x y z 1|

|x1 y1 z1 1|

|x2 y2 z2 1|

|x3 y3 z3 1|

The top is just the vector we multiply by to come up with the equation of a line? (when we expand by cofactors) I'm not sure exactly. Unfortunately I did not take the required pre-req to get into this class, they let me in, so I took on a project that was a little beyond me at this point. Also, what is the definition of a determinant? I can show how they work, ubt I don't have a description of what they really represent. Everything I look up and every book I have just show you how to analyze them, not what they really represent.

Any help on the explanation of this would be great.

-Pati

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# Crames Rule and equation of a plane

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