Vectors help - Slicing Corner problem

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The discussion revolves around solving a geometry problem involving the area of a triangle using vectors and the cross product. Participants are trying to derive the area of a specific triangle (Area D) by applying known formulas and discussing the relationships between the areas of right-angled faces. There is confusion regarding the application of the cross product and the correct formulas for calculating areas. Ultimately, they arrive at the conclusion that the area can be expressed using the cross product and relate it to a 2D counterpart of a 3D equation involving areas. The conversation highlights the importance of understanding geometric relationships and formulas in solving such problems.
  • #31
man0005 said:
oh you mean the actual values?
A= ab/2
B= ac/2
C = bc/2

D = 1/2(ab+bc+ac)?

Now I'm completely lost …

what parts of the square are A B C D a b and c ? :confused:
 
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  • #32
what square?
Im talking about the sliced part...
i'm confused now lol..
 
  • #33
your square :confused: …
man0005 said:
cube - square
sliced corner - triangle
sliced plane - line?
 
  • #34
yes …

next, the 3D equation was about a sum of areas squared …

so what would be 2D equivalent of that be?

how do i do this?
 

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