Collinear
Three or more points , , , ..., are said to be collinear if they lie on a single straight line . A line on which points lie, especially if it is related to a geometric figure such as a triangle, is sometimes called an axis.
Two points are trivially collinear since two points determine a line.
Three points for 1, 2, 3 are collinear iff the ratios of distances satisfy
(1)
A slightly more tractable condition is obtained by noting that the area of a triangle determined by three points will be zero iff they are collinear (including the degenerate cases of two or all three points being concurrent), i.e.,
(2)
or, in expanded form,
(3)
This can also be written in vector form as
(4)
where is the sum of components, , and . The condition for three points to be collinear can also be expressed as the statement that the distance between any one point and the line determined by the other two is zero.
2006-11-24 09:59:45
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answer #1
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answered by Lachelle 3
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1. Passing through or lying on the same straight line.
2. Containing a common line; coaxial.
2006-11-24 11:38:33
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answer #2
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answered by nzdota 2
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That two or more points form a line ; that you can draw a straight line thro it.
Noncollinear is when the points on the graph are everywhere so you cannot draw a line thro all of them.
2006-11-24 11:12:20
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answer #3
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answered by dreamscrushed 3
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That word is not in my dictionary. The only word that comes close is collimate which means to bring into line and to make parallel.
2006-11-24 10:04:01
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answer #4
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answered by Anonymous
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it means two or more points are on the same line
2006-11-24 09:59:09
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answer #5
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answered by ? 2
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lying on or passing through the same line.
2006-11-24 10:00:26
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answer #6
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answered by Procrastination Kills. 3
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