SOLUTION: I am not so sure if my question is right for here but here I go. The zero vector, 0, is defined by the following statement, D5: AB=0 If and only if A and B are the same p

Algebra ->  Geometry-proofs -> SOLUTION: I am not so sure if my question is right for here but here I go. The zero vector, 0, is defined by the following statement, D5: AB=0 If and only if A and B are the same p      Log On


   



Question 609265: I am not so sure if my question is right for here but here I go.
The zero vector, 0, is defined by the following statement,


D5: AB=0 If and only if A and B are the same point.
What are the components of 0?

Answer by math-vortex(648) About Me  (Show Source):
You can put this solution on YOUR website!
As your definition says, if AB is a zero vector then A and B are the same point.
Think about this graphically. Say point A is (3,3). Then B is also (3,3). There is no distance between these two points (because they are the same point.)
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The there no displacement is the x-direction or the y-direction. So, the components of the zero vector are all zero. In 2-dimensional algebra, you sometimes see it written like this
vector AB = <0,0>.
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I hope this helps. This is very simple, but sometimes the simplest things seem confusing when you are getting started.
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Feel free to email if you still have questions.
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Ms.Figgy
math.in.the.vortex@gmail.com