Vector Addition of differing quantities

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SUMMARY

The discussion centers on the concept of vector addition involving differing quantities, specifically a displacement vector and a velocity vector. Participants conclude that adding these two vectors results in a "meaningless quantity," as the units of measurement do not correspond. The conversation highlights the importance of unit consistency in vector addition, emphasizing that combining vectors of different dimensions leads to nonsensical results.

PREREQUISITES
  • Understanding of vector addition principles
  • Familiarity with physical quantities such as displacement and velocity
  • Knowledge of units of measurement and their significance
  • Basic mathematical skills for handling vectors
NEXT STEPS
  • Research the principles of vector addition in physics
  • Learn about dimensional analysis and its applications
  • Explore examples of vector addition with consistent units
  • Study the implications of combining different physical quantities
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Students in physics and mathematics, educators teaching vector concepts, and anyone interested in understanding the implications of combining different physical quantities.

ilackinsight
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My girlfriend had this problem on her first tutorial sheet at Univeristy. She is doing maths. I am doing physics and was interested in the answer.
It asked what the result was when a displacement vector was added to a velocity vector. The vector addition can obviously be done on these two quantities, but does the end answer actually mean anything? I would think it would be meaningless

Thanks.
Tom.
 
Last edited:
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No need to go to vectors to talk non-sense! What 3 feet plus seven dollars? What is 4 mi/hr+ 3 seconds? What is 2 degrees celsius+ 5 gallons?
See we can all play!

The only good answer to the question posed is "a meaningless quantity"!
 

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