Evaluate scalar triple products

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The discussion centers on evaluating scalar triple products involving vectors in R^4, specifically how to derive a 3x3 determinant from 4-dimensional vectors. The user is confused about forming a 3x4 determinant for the expression c.(axb) and seeks clarification on how to define the triple product in R^4. They express uncertainty about the process of reducing the vectors to a 3x3 determinant format. The conversation highlights the need for understanding the mathematical principles behind the scalar triple product in higher dimensions. Overall, the inquiry focuses on the correct approach to evaluating the triple product involving vectors from R^4.
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http://s2.ipicture.ru/uploads/20111115/BiYq94IS.jpg

Here is the determinant for axb:
w x y z
1 -2 3 -4
-1 2 4 -5

Then, how to proceed?? Can someone please help?
 
Last edited:
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My confusion is how to get a 3x3 determinant when the vectors a, b and c are presented as being in R^4.
For example, when i make the determinant for c.(axb), i get:

c1 c2 c3 c4
a1 a2 a3 a4
b1 b2 b3 b4

But it's not possible to evaluate such a 3x4 determinant, right? And the question is requesting that i evaluate a 3x3 determinant.

Any ideas?
 
Last edited:
I guess the question is "How is the triple product of two vectors defined in R4"?
 
I honestly have no idea, but this is really the entire question:
http://s2.ipicture.ru/uploads/20111115/BiYq94IS.jpg
 

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