Product of two magnitude of vectors

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SUMMARY

The discussion centers on the mathematical concept of the product of the magnitudes of two vectors, specifically vectors AC and BD. Participants clarify that the original question does not involve a dot product, but rather the expression |AC| * |BD|. It is concluded that without additional information, such as the angle between the vectors, the problem is unsolvable as varying the magnitude of one vector while keeping the other fixed leads to multiple possible outcomes.

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songoku
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Homework Statement
Let A, B, C and D are 4 points in 3 dimensional space. If |AB| = 3, |BC| = 7, |CD| = 11 and |DA| = 9, calculate |AC| . |BD|
Relevant Equations
magnitude of vector

dot product
I don't really know where to start. Trying to use cosine rule but failed because no information about angle.
Thanks
 
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Your question as stated does not involve a dot product. Did you mean ##|\vec{AC}.\vec{BD}|##?
Also, as stated, it clearly is unsolvable. You could easily vary |AC| while keeping |BD| fixed. Not sure yet if changing it to the dot product of the vectors resolves that.
 
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haruspex said:
Your question as stated does not involve a dot product. Did you mean ##|\vec{AC}.\vec{BD}|##?
No, the question really states: ##|\vec{AC}| .| \vec{BD}|## so I interpret it as product of magnitude of vector AC and BD

Also, as stated, it clearly is unsolvable. You could easily vary |AC| while keeping |BD| fixed. Not sure yet if changing it to the dot product of the vectors resolves that.
Oh ok, I see your point.

Thank you very much haruspex
 

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