The Student
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- Apr 25, 2012
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- 241
If there is, what is it?
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Is there a difference between v = (1,2,0) = 0, and u = (1,2) = 0 ?
- Thread starter The Student
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HallsofIvy
Elite Member
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- Jan 27, 2012
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I don't see any meaning in either of statements. v= (1, 2, 0) and u= (1, 2) are not the same- one is a point in \(\displaystyle R^3\) and the other a point in \(\displaystyle R^2\). We could, of course, "identify" the plane (x, y, 0) in \(\displaystyle R^3\) with \(\displaystyle R^2\). In mathematical terms, they are not the same but they are "equivalent", with the equivalence relation, (x, y, 0) identified with (x, y).
However, I am completely mystified by "(1, 2, 0)= 0" and "(1, 2)= 0"!
However, I am completely mystified by "(1, 2, 0)= 0" and "(1, 2)= 0"!
Last edited:
The Student
Junior Member
- Joined
- Apr 25, 2012
- Messages
- 241
I don't see any meaning in either of statements. v= (1, 2, 0) and u= (1, 2) are not the same- one is a point in \(\displaystyle R^3\) and the other a point in \(\displaystyle R^2\). We could, of course, "identify" the plane (x, y, 0) in \(\displaystyle R^3\) with \(\displaystyle R^2\). In mathematical terms, they are not the same but they are "equivalent", with the equivalence relation, (x, y, 0) identified with (x, y).
However, I am completely mistified by "(1, 2, 0)= 0" and "(1, 2)= 0"!
Gotcha, thanks