abdul_shabeer
What is a plane?
Delete
Share
This Question is Closed
abdul_shabeer
Best Response
You've already chosen the best response.
1
Is it composed of many points?
abdul_shabeer
Best Response
You've already chosen the best response.
1
In Mathematics
lgbasallote
Best Response
You've already chosen the best response.
1
here's an example of a plane
|dw:1347602928018:dw|
lgbasallote
Best Response
You've already chosen the best response.
1
here's another one that im sure you're familiar of
|dw:1347602961138:dw|
what do you notice?
abdul_shabeer
Best Response
You've already chosen the best response.
1
Is plane composed of points?
lgbasallote
Best Response
You've already chosen the best response.
1
yes...in a sense...it is
lgbasallote
Best Response
You've already chosen the best response.
1
however, the more exact way of defining it is that it is composed of lines
abdul_shabeer
Best Response
You've already chosen the best response.
1
A plane has area?
lgbasallote
Best Response
You've already chosen the best response.
1
area, perimeter, length, width, etc.
abdul_shabeer
Best Response
You've already chosen the best response.
1
Which means a point has area...
lgbasallote
Best Response
You've already chosen the best response.
1
uhh no....
abdul_shabeer
Best Response
You've already chosen the best response.
1
Then how does a plane have area?
lgbasallote
Best Response
You've already chosen the best response.
1
do you know what "area" is?
abdul_shabeer
Best Response
You've already chosen the best response.
1
space occupied?
lgbasallote
Best Response
You've already chosen the best response.
1
that's volume
lgbasallote
Best Response
You've already chosen the best response.
1
|dw:1347603254688:dw|
that is the area...it is the amount of space *covered* by a *closed figure*
lgbasallote
Best Response
You've already chosen the best response.
1
a point is NOT a closed figure
abdul_shabeer
Best Response
You've already chosen the best response.
1
Then how does collection of points make a plane?
lgbasallote
Best Response
You've already chosen the best response.
1
collection of points => line
collection of lines => plane
abdul_shabeer
Best Response
You've already chosen the best response.
1
Line is collection of points, therefore a plane is a collection of points.
lgbasallote
Best Response
You've already chosen the best response.
1
yes..now you got it
abdul_shabeer
Best Response
You've already chosen the best response.
1
That's not my doubt..
abdul_shabeer
Best Response
You've already chosen the best response.
1
A plane is collection of lines or points and a plane has area. Which means a point should have area.
lgbasallote
Best Response
You've already chosen the best response.
1
no
jreem
Best Response
You've already chosen the best response.
0
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.
abdul_shabeer
Best Response
You've already chosen the best response.
1
Why?
lgbasallote
Best Response
You've already chosen the best response.
1
area only happens to two-dimensional figures
lgbasallote
Best Response
You've already chosen the best response.
1
area = length x width <==two dimensions
lgbasallote
Best Response
You've already chosen the best response.
1
a point is dimensionless
abdul_shabeer
Best Response
You've already chosen the best response.
1
Then why does a plane have area?
lgbasallote
Best Response
You've already chosen the best response.
1
because a plane is two dimensional
Chlorophyll
Best Response
You've already chosen the best response.
0
A plane is made up from at least 2 crossed lines!
abdul_shabeer
Best Response
You've already chosen the best response.
1
How can we make two dimension from zero dimension?
lgbasallote
Best Response
You've already chosen the best response.
1
plane = two-dimensional
area = two-dimensional
therefore... plane has area
point = 0 dimenison
area = two dimension
therefore...point does NOT have area
lgbasallote
Best Response
You've already chosen the best response.
1
@abdul_shabeer can you not make 1 out of 0?
lgbasallote
Best Response
You've already chosen the best response.
1
or 2 out of 0
lgbasallote
Best Response
You've already chosen the best response.
1
all you have to do is add
jreem
Best Response
You've already chosen the best response.
0
Any two points, both dimension 0, have a distance between them, which is dimension 1. Extrapolate to higher dimensions.
abdul_shabeer
Best Response
You've already chosen the best response.
1
@jreem What is that distance composed of?
jreem
Best Response
You've already chosen the best response.
0
Points. An infinity of them. That's how we can add zero's and get to a non-zero number.
Directrix
Best Response
You've already chosen the best response.
0
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.