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Slightly confused

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Ulciscor:
Can anyone give me a hand with this quetion I've been set? I can't seem to work out how to do it.

Think of the points of a plane as being represented by vectors
[x]
[y]
Say, in each
                                                                                         
case, whether the set of vectors given is a single point, a line, or the entire plane.

[x] : [ 1/root(2)   -1/root(2) ] [x] = [ 0  0 ]
[y]   [ 1/root(2)     1/root(2)] [y]     [ 0  0 ]

Numsgil:
I'm not sure I understand the problem entirely.  In what case would two points represent the entire plane?  Or are we not necessarily talking about two vectors?

Are we talking about R^2?  R^n?  That is, 2D space or ND space?

Ulciscor:
It just says points of a plane represented by

[x]
[y]

It's weird. I think it's something like when you apply a matrix map to a vector you get a known result, so what did the vector you had in the first place represent?

Numsgil:

--- Quote ---[x] : [ 1/root(2)   -1/root(2) ] [x] = [ 0  0 ]
[y]   [ 1/root(2)     1/root(2)] [y]     [ 0  0 ]
--- End quote ---
I'm not sure I understand the notation you're using.  If they're vectors, are we doing vecotr multiplication?  If so, is it dot or cross products?

Botsareus:
Oxford baby. End of story.

Its a line. looky like y is changing and x is a point, resolting in a vertical line.

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