What is the Result of \(\vec{A} - \vec{B}\) Given Three Vectors Summing to Zero?

AI Thread Summary
The discussion revolves around determining the result of the vector operation \(\vec{A} - \vec{B}\) given three vectors that sum to zero and are of equal length. Participants suggest that \(\vec{A} - \vec{B}\) can be expressed as \(\vec{A} + (-\vec{B})\). The equation \(C + A = -B\) is derived, leading to the conclusion that \(\vec{A} - \vec{B} = C + 2A\). The conversation emphasizes the importance of visualizing the vectors to understand their relationships better. Overall, the key takeaway is the mathematical relationship established between the vectors in the context of their sum being zero.
Ammar w
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Homework Statement


The diagram below shows 3 vectors which sum to zero, all of equal length. What is
\vec{A} - \vec{B}?

http://s3.amazonaws.com/diigo/thumb...Attempt at a Solution[/h2] I have no idea.
 
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Ammar w said:

Homework Statement


The diagram below shows 3 vectors which sum to zero, all of equal length. What is
\vec{A} - \vec{B}?

http://s3.amazonaws.com/diigo/thumb... to get [itex]\vec A - \vec B[/itex] ? AM
 
Last edited by a moderator:
Welcome to PF!

Hi Ammar w! Welcome to PF! :smile:

Draw -B …

what does it look like? :wink:​
 
Thank you Andrew Mason & tiny-tim
C+A=-B // add A to the sides of the equatoin
C+2A=A-B
A-B = C+2A.
I didn't draw anything.
Thanks for let me thinking.
 
Thank you Andrew Mason & tiny-tim
C+A=-B // add A to the sides of the equatoin
C+2A=A-B
A-B = C+2A.
I didn't draw anything.
Thanks for let me thinking.
 

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