Question and Answers Forum

All Questions      Topic List

Geometry Questions

Previous in All Question      Next in All Question      

Previous in Geometry      Next in Geometry      

Question Number 3850 by Rasheed Soomro last updated on 22/Dec/15

How many dimention/s does the point have?

$${How}\:{many}\:{dimention}/{s}\:{does}\:{the}\:{point}\:{have}? \\ $$

Commented by prakash jain last updated on 22/Dec/15

In 3D cartesian coordinate you need (x,y,z) to uniquely describe a point.

$$\mathrm{In}\:\mathrm{3D}\:\mathrm{cartesian}\:\mathrm{coordinate}\:\mathrm{you}\:\mathrm{need}\:\left({x},{y},{z}\right) \\ $$$$\mathrm{to}\:\mathrm{uniquely}\:\mathrm{describe}\:\mathrm{a}\:\mathrm{point}. \\ $$

Commented by Rasheed Soomro last updated on 22/Dec/15

In 2D (x,y) is needed to describe apoint. Does this mean that a point can be considered of any dimention/s ?

$$\mathrm{In}\:\mathrm{2D}\:\:\:\left(\mathrm{x},\mathrm{y}\right)\:\mathrm{is}\:\mathrm{needed}\:\mathrm{to}\:\mathrm{describe}\:\mathrm{apoint}. \\ $$$$\mathrm{Does}\:\mathrm{this}\:\mathrm{mean}\:\mathrm{that}\:\mathrm{a}\:\mathrm{point}\:\mathrm{can}\:\mathrm{be}\:\mathrm{considered} \\ $$$$\mathrm{of}\:\mathrm{any}\:\mathrm{dimention}/\mathrm{s}\:? \\ $$

Commented by 123456 last updated on 22/Dec/15

0

$$\mathrm{0} \\ $$

Commented by prakash jain last updated on 22/Dec/15

A point itself is dimensionless (L^0 ). Positioning of point or line or any figure in n−dimension space requires information about all dimensions.

$$\mathrm{A}\:\mathrm{point}\:\mathrm{itself}\:\mathrm{is}\:\mathrm{dimensionless}\:\left(\mathrm{L}^{\mathrm{0}} \right). \\ $$$$\mathrm{Positioning}\:\mathrm{of}\:\mathrm{point}\:\mathrm{or}\:\mathrm{line}\:\mathrm{or}\:\mathrm{any}\:\mathrm{figure} \\ $$$$\mathrm{in}\:{n}−\mathrm{dimension}\:\mathrm{space}\:\mathrm{requires}\:\mathrm{information} \\ $$$$\mathrm{about}\:\mathrm{all}\:\mathrm{dimensions}. \\ $$

Commented by Rasheed Soomro last updated on 22/Dec/15

Is ′ the point has no dimention ′ is a postulate about point? [0,1] is anologus to line segment (−∞,+∞) is anologus to line,I think.

$${Is}\:\:'\:{the}\:{point}\:{has}\:{no}\:{dimention}\:'\:{is} \\ $$$${a}\:\boldsymbol{\mathrm{postulate}}\:\:{about}\:{point}? \\ $$$$\left[\mathrm{0},\mathrm{1}\right]\:{is}\:{anologus}\:{to}\:{line}\:{segment} \\ $$$$\left(−\infty,+\infty\right)\:{is}\:{anologus}\:{to}\:{line},{I}\:{think}. \\ $$

Commented by 123456 last updated on 22/Dec/15

a line is made by inifnite number of points example: suppose that each number is a point, then look at [0,1] its a line, and you can choose infinite numbers from these line

$$\mathrm{a}\:\mathrm{line}\:\mathrm{is}\:\mathrm{made}\:\mathrm{by}\:\mathrm{inifnite}\:\mathrm{number}\:\mathrm{of}\:\mathrm{points} \\ $$$$\mathrm{example}: \\ $$$$\mathrm{suppose}\:\mathrm{that}\:\mathrm{each}\:\mathrm{number}\:\mathrm{is}\:\mathrm{a}\:\mathrm{point},\:\mathrm{then} \\ $$$$\mathrm{look}\:\mathrm{at} \\ $$$$\left[\mathrm{0},\mathrm{1}\right] \\ $$$$\mathrm{its}\:\mathrm{a}\:\mathrm{line},\:\mathrm{and}\:\mathrm{you}\:\mathrm{can}\:\mathrm{choose}\:\mathrm{infinite} \\ $$$$\mathrm{numbers}\:\mathrm{from}\:\mathrm{these}\:\mathrm{line} \\ $$

Commented by Filup last updated on 23/Dec/15

A point is dimensionless but it points in all directions

$${A}\:\mathrm{point}\:\mathrm{is}\:\mathrm{dimensionless}\:\mathrm{but}\:\mathrm{it}\:\mathrm{points} \\ $$$$\mathrm{in}\:\mathrm{all}\:\mathrm{directions} \\ $$

Terms of Service

Privacy Policy

Contact: info@tinkutara.com