Neel517
Neel517 Neel517
  • 25-08-2021
  • Mathematics
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What shape is always created in graphing the addition of two vectors?

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jimthompson5910 jimthompson5910
  • 25-08-2021

Answer: Parallelogram

You could use the parallelogram rule to add the vectors, or you could use the tip-to-tail method (your textbook might call it the "head to tail method" but it's the same idea).

An example of the parallelogram method is shown below with adding the vector u = (-4,4) in red to the vector v = (8,2) in blue to get the vector w = (4,6) in green. The green resultant vector is one of the diagonals of the parallelogram

Side note: The other diagonal is either u-v or v-u depending on your reference point.

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