Area of a triangle formed by vectors

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Homework Help Overview

The discussion revolves around finding the area of a triangle formed by two vectors in three-dimensional space, specifically the vectors 2i-j+3k and i+2j+2k.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants express uncertainty about calculating the area using only two vectors and question the necessity of a third side. Some consider the dimensional complexity of the problem and explore the use of vector products as a potential method.

Discussion Status

There are mixed responses regarding the approach to the problem. Some participants have indicated they found a solution using vector products, while others are still seeking clarification and guidance on the topic.

Contextual Notes

There is mention of standard problems in linear algebra, but one participant notes that this specific problem was not included in their textbook, suggesting a potential gap in resources or understanding.

t_n_p
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Homework Statement



What is the area of a triangle formed by the vectors 2i-j+3k and i+2j+2k.

The Attempt at a Solution



I didn't know it was possible to find the area with only 2 vectors!:confused:
Can somebody please show me how?
 
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I imagine the third side of said triangle is the length between both of the vectors.

That said, this seems to be a tricky problem because of the three dimensions involved, I'm thinking about it now.
 
I found this on the net...

v1124x.gif


v1125x.gif


Helpful?
 
Yeah i figured it out using vector products!
 
t_n_p said:
Yeah i figured it out using vector products!

Did you check your textbook in linear algebra? This is standard problems.
 
malawi_glenn said:
Did you check your textbook in linear algebra? This is standard problems.

Wasn't in my textbook..
 

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