Showing vector is perpendicular to the plane

Thread starter disturbed123
Start date Sep 9, 2008
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Perpendicular Plane Vector

AI Thread Summary

To show that the vector (AxB) + (BxC) + (CxA) is perpendicular to the plane formed by points A, B, and C, one must first understand the definition of vectors A, B, and C originating from the origin to these points. The cross product of two vectors results in a vector that is perpendicular to the plane defined by those vectors. The expression combines the cross products of the vectors, indicating that the resultant vector is indeed perpendicular to the plane formed by points A, B, and C. The discussion highlights the importance of correctly defining the vectors and understanding vector operations. Ultimately, the solution confirms that the resultant vector is perpendicular to the plane ABC.

Sep 9, 2008

disturbed123

if A, B, C are vectors from origin to the points A, B, C show that the following is perpendicular to the plane ABC: (AxB) + (BxC) + (CxA)

I am having trouble setting up the problem. I can't understand the vector A, B, C. is vector A = Ai + Aj + Ak? and so on?

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Sep 9, 2008

disturbed123

Sorry for this post found out how to solve it.

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