We are familiar with geometry in two dimensions and have plotted points and drawn lines, curves and figures on a piece of paper.
A plane piece of paper presents a two-dimensional environment. That means only objects having no thickness can be created on a plane piece of paper. But wait! Artists have drawn mountains, brooks and horses on paper. And they are not flat objects. True. They use different intensities of shades and the techniques of perspectives to create the illusion of thickness on a flat surface.
In reality we live in a three -dimensional world. A natural progression therefore is to enquire about what happens in a world of three dimensions.
We talk about space.
Just as we plot points, lines and figures on a plane, we can have points, lines and figures in space.
Let us talk about lines in space.
Statement: Two non-intersecting lines in space are always parallel.
What do you think about this statement?
Please click here for the answer
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