anonymous
  • anonymous
What is a plane?
Mathematics
  • Stacey Warren - Expert brainly.com
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schrodinger
  • schrodinger
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anonymous
  • anonymous
Is it composed of many points?
anonymous
  • anonymous
In Mathematics
lgbasallote
  • lgbasallote
here's an example of a plane |dw:1347602928018:dw|

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lgbasallote
  • lgbasallote
here's another one that im sure you're familiar of |dw:1347602961138:dw| what do you notice?
anonymous
  • anonymous
Is plane composed of points?
lgbasallote
  • lgbasallote
yes...in a sense...it is
lgbasallote
  • lgbasallote
however, the more exact way of defining it is that it is composed of lines
anonymous
  • anonymous
A plane has area?
lgbasallote
  • lgbasallote
area, perimeter, length, width, etc.
anonymous
  • anonymous
Which means a point has area...
lgbasallote
  • lgbasallote
uhh no....
anonymous
  • anonymous
Then how does a plane have area?
lgbasallote
  • lgbasallote
do you know what "area" is?
anonymous
  • anonymous
space occupied?
lgbasallote
  • lgbasallote
that's volume
lgbasallote
  • lgbasallote
|dw:1347603254688:dw| that is the area...it is the amount of space *covered* by a *closed figure*
lgbasallote
  • lgbasallote
a point is NOT a closed figure
anonymous
  • anonymous
Then how does collection of points make a plane?
lgbasallote
  • lgbasallote
collection of points => line collection of lines => plane
anonymous
  • anonymous
Line is collection of points, therefore a plane is a collection of points.
lgbasallote
  • lgbasallote
yes..now you got it
anonymous
  • anonymous
That's not my doubt..
anonymous
  • anonymous
A plane is collection of lines or points and a plane has area. Which means a point should have area.
lgbasallote
  • lgbasallote
no
anonymous
  • anonymous
A geometric object defined by three points not on the same line. Any more than three points and they do not necessarily define a plane. A point has zero length and zero area.
anonymous
  • anonymous
Why?
lgbasallote
  • lgbasallote
area only happens to two-dimensional figures
lgbasallote
  • lgbasallote
area = length x width <==two dimensions
lgbasallote
  • lgbasallote
a point is dimensionless
anonymous
  • anonymous
Then why does a plane have area?
lgbasallote
  • lgbasallote
because a plane is two dimensional
anonymous
  • anonymous
A plane is made up from at least 2 crossed lines!
anonymous
  • anonymous
How can we make two dimension from zero dimension?
lgbasallote
  • lgbasallote
plane = two-dimensional area = two-dimensional therefore... plane has area point = 0 dimenison area = two dimension therefore...point does NOT have area
lgbasallote
  • lgbasallote
@abdul_shabeer can you not make 1 out of 0?
lgbasallote
  • lgbasallote
or 2 out of 0
lgbasallote
  • lgbasallote
all you have to do is add
anonymous
  • anonymous
Any two points, both dimension 0, have a distance between them, which is dimension 1. Extrapolate to higher dimensions.
anonymous
  • anonymous
@jreem What is that distance composed of?
anonymous
  • anonymous
Points. An infinity of them. That's how we can add zero's and get to a non-zero number.
Directrix
  • Directrix
Plane is one of at least 3 *undefined* terms in Euclidean Geometry. Think of it as a flat surface extending infinitely far. A plane has no length, width, perimeter, area or depth. It contains lines, points, rays, and so forth.

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