If a point is dimensionless.. Then why the lines have dimensions because line is a collection of points??
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this is a very famous question..i asked my teacher abou it...he said...though we call a dot dimensionless....it indeed has a veeery small diameter..but we ignore it...while we draw a line we r technically drawing infinity numbers of points..so they finally form smething called line
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Answer:
A point is dimensionless, because it has negligible dimensions not because it has no dimension. so when we take a collection of points, the negligible dimension ad up to form a measurable dimension.
Step-by-step explanation:
Also, don't forget that a point is a region with very small length and width (negligible dimensions) so in a given region like a 2-d plane there are infinite possibilities to select such an area. It is so because if you select a point (that means you are selecting a region) and move it (your selection ) a little bit, it will be a new point.
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