false
true
We have no other way to "draw" points than to put down a blob of ink or pencil lead, with dimensions,just so it's visible on the paper. But technically, those are not points. Mathematically, a real "point" hasonly a location, but no dimensions.Two points can have different locations, or they can have the same location. If they have the same location,then they coincide. If they have different locations, then they don't coincide. They can't partly overlap, becausethere's no such thing as "part" of a point.If anybody ever succeeded in drawing a real point on paper, you couldn't see it, because it has no size.
A line is a series of points extending infinitely in opposite directions. Because a single point has no dimension we get only one dimension when we line the points up.
A CD, because it exists in our dimension, has three distinct points you can measure therefor it is a cylinder.
you would get a grid that you can plot points on.
True
False
False. Edges, being one-dimensional, cannot physically overlap in a three-dimensional space, even if the points connected by those edges happen to be close together. Each edge has a distinct path and cannot occupy the same space as another edge simultaneously.
We have no other way to "draw" points than to put down a blob of ink or pencil lead, with dimensions,just so it's visible on the paper. But technically, those are not points. Mathematically, a real "point" hasonly a location, but no dimensions.Two points can have different locations, or they can have the same location. If they have the same location,then they coincide. If they have different locations, then they don't coincide. They can't partly overlap, becausethere's no such thing as "part" of a point.If anybody ever succeeded in drawing a real point on paper, you couldn't see it, because it has no size.
A line is not made up of points for the very reason that points have no dimension. It is absolutely impossible for things with no dimension, so matter how many are added, to ever equal something of one dimension. It is easy to think of points as dots. Dots, however, are only representations of points to help us visualize pints. Although many dots added together can make a line, points cannot.
B. False APEX...:)
A line is a series of points extending infinitely in opposite directions. Because a single point has no dimension we get only one dimension when we line the points up.
Points are dimensionless.
A CD, because it exists in our dimension, has three distinct points you can measure therefor it is a cylinder.
A CD, because it exists in our dimension, has three distinct points you can measure therefor it is a cylinder.
food chains overlap at many points ;)
Atomic physics and chemistry overlap considerably. Perhaps the best example of this occurred in 1908 when Ernest Rutherford, a physicist, was given the Nobel Prize for Chemistry.
it connects to the points of Hawaii and Alaska