Author Topic: Slightly confused  (Read 3860 times)

Offline Ulciscor

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Slightly confused
« on: October 06, 2005, 04:24:43 PM »
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 ]
« Last Edit: October 06, 2005, 04:26:26 PM by Ulciscor »
:D Ulciscor :D

I used to be indecisive, but now I'm not so sure.

Offline Numsgil

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Slightly confused
« Reply #1 on: October 06, 2005, 04:28:10 PM »
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?
« Last Edit: October 06, 2005, 04:28:26 PM by Numsgil »

Offline Ulciscor

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Slightly confused
« Reply #2 on: October 06, 2005, 04:29:43 PM »
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?
« Last Edit: October 06, 2005, 04:30:52 PM by Ulciscor »
:D Ulciscor :D

I used to be indecisive, but now I'm not so sure.

Offline Numsgil

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Slightly confused
« Reply #3 on: October 06, 2005, 05:50:25 PM »
Quote
[x] : [ 1/root(2)   -1/root(2) ] [x] = [ 0  0 ]
[y]   [ 1/root(2)     1/root(2)] [y]     [ 0  0 ]
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?

Offline Botsareus

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Slightly confused
« Reply #4 on: October 06, 2005, 08:47:37 PM »
Oxford baby. End of story.

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

Offline Ulciscor

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Slightly confused
« Reply #5 on: October 07, 2005, 08:49:16 AM »
:huh:
:D Ulciscor :D

I used to be indecisive, but now I'm not so sure.

Offline PurpleYouko

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Slightly confused
« Reply #6 on: October 07, 2005, 09:09:26 AM »
Quote
case, whether the set of vectors given is a single point, a line, or the entire plane.

Aren't vectors defined as having a direction? How can vectors represent a point?

Quote
Mathematics
  • A quantity, such as velocity, completely specified by a magnitude and a direction.
  • A one-dimensional array.
  • An element of a vector space

or are you talking about number 3, a concept which I have very little knowledge of.
There are 10 kinds of people in the world
Those who understand binary.
and those who don't

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Offline Botsareus

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Slightly confused
« Reply #7 on: October 07, 2005, 10:24:25 AM »
Quote
Its a line. looky like y is changing and x is a point, resolting in a vertical line.


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

In my mind translates to

multi dimentional plain with X having a two dimentional vector were is always (0,0)-( 0,0) because anything - itself = 0

and Y having a two dimentional vector is always ( 1/root(2) ,  1/root(2) ) - (0,0)

resolting in no change along X but a liner along Y. If root(2) is a constant.

Hey what can I say , see if I got it right , thats all.
« Last Edit: October 07, 2005, 10:31:52 AM by Botsareus »