Simple proof ?

  • Thread starter cragar
  • Start date
  • #1
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Homework Statement


prove A0=0
where 0 is the zero vector
and A is a scalar

The Attempt at a Solution



so i know we need to get it in the form
A0 + A0 = A0+ 0
but im not sure how to get there
can we say A0 + 0 = 0
any input will be appreciated.
 

Answers and Replies

  • #2
tiny-tim
Science Advisor
Homework Helper
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can we say A0 + 0 = 0
Hi cragar! :smile:

You can't say A0 + 0 = 0 because (although it's true), it's not one of the basic laws of vector spaces.

Hint: try the definition of vector addition, 0 + X = X :wink:
 
  • #3
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so then A(0+0)=0
 
Last edited:
  • #4
tiny-tim
Science Advisor
Homework Helper
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  • #5
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so then A(0+0)=A0
A0+A0=A0
then we subtract A0 from both sides
then we get A0=A0-A0

thanks for your help
 
Last edited:

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