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Proving the associative property of vector addition

  • Thread starter Specter
  • Start date
  • #1
120
8

Homework Statement


Give an example of the associative property of vector addition using vectors in Cartesion form.

Homework Equations


(u+v)+w=u+(v+w)

The Attempt at a Solution


I can't figure out how to get the arrow on top of my work so I wrote it without it.

I'm somewhat confused on why I am not getting the same answer for both like I should be. Did I make some stupid mistake in my work that I can't see, or does it have something to do with the coordinates that I chose to use?

u=(2,1), v=(3,2), w=(-2,1)

(u+v)+w=(2+3,1+3)+(-2,1)
=(5,4)+(-2,1)
=(5-2,4+1)
=(3,5)

u+(v+w)=(2,1)+(3-2,2+1)
=(2,1)+(1,3)
=(2+1,1+3)
=(3,4)
 

Answers and Replies

  • #2
PeroK
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u=(2,1), v=(3,2), w=(-2,1)

(u+v)+w=(2+3,1+3)+(-2,1)
That was not too hard to spot!
 
  • #3
120
8
That was not too hard to spot!
Damn... I checked so many times too. Thank you!!
 
  • #4
RPinPA
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Last edited:

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