Currently-working-on-enhancing-this-app-to-draw-shapes-So-posting-a-math-problem-realted-to-drawing-Ref-Frame1-X-Y-Frame-2-Axis-translated-by-h-k-and-rotated-about-point-u-v-Consider-a-po

Question Number 98728 by Tinku Tara last updated on 15/Jun/20

$$\mathrm{Currently}\mathrm{working}\mathrm{on}\mathrm{enhancing}$$$$\mathrm{this}\mathrm{app}\mathrm{to}\mathrm{draw}\mathrm{shapes}.$$$$\mathrm{So}\mathrm{posting}\mathrm{a}\mathrm{math}\mathrm{problem}\mathrm{realted}$$$$\mathrm{to}\mathrm{drawing}\overline{.}$$$$\mathrm{Ref}.\mathrm{Frame}1\mathrm{X}-\mathrm{Y}$$$$\mathrm{Frame}2:$$$$\mathrm{Axis}\mathrm{translated}\mathrm{by}(h,k)\mathrm{and}$$$$\mathrm{rotated}\mathrm{about}\mathrm{point}(u,v).$$$$\mathrm{Consider}\mathrm{a}\mathrm{point}(x_1,y_1)\mathrm{on}\mathrm{X}-\mathrm{Y}\mathrm{axis}.$$$$1.\mathrm{What}\mathrm{will}\mathrm{be}\mathrm{the}\mathrm{postion}\mathrm{of}\mathrm{the}$$$$\mathrm{point}\mathrm{on}\mathrm{X}-\mathrm{Y}\mathrm{axis}\mathrm{after}\mathrm{it}\mathrm{is}$$$$\mathrm{translated}\mathrm{and}\mathrm{plotted}\mathrm{in}\mathrm{frame}2.$$$$2.\mathrm{A}\mathrm{point}\mathrm{is}\mathrm{moved}\mathrm{by}\mathrm{distance}$$$$dx,dy\mathrm{in}\mathrm{X}-\mathrm{Y}.\mathrm{How}\mathrm{much}\mathrm{distane}$$$$\mathrm{will}\mathrm{it}\mathrm{moved}\mathrm{in}\mathrm{the}\mathrm{new}\mathrm{frame}.$$

Commented by Tinku Tara last updated on 15/Jun/20

$$\mathrm{A}\mathrm{more}\mathrm{difficult}\mathrm{problem}:$$$$\mathrm{What}\mathrm{will}\mathrm{the}\mathrm{postion}\mathrm{of}3\mathrm{D}\mathrm{point}$$$$(x,y,z)\mathrm{in}\mathrm{in}2\mathrm{D}\mathrm{plane}\mathrm{when}\mathrm{viewed}$$$$\mathrm{by}\mathrm{a}\mathrm{point}\mathrm{observer}\mathrm{at}(a,b,c).$$

Commented by Tinku Tara last updated on 15/Jun/20

From software implementation point of view libraries do this computation internally.

Commented by MWSuSon last updated on 15/Jun/20

That will be wonderful sir.��

Commented by niroj last updated on 15/Jun/20

it's better Tinku tara if you make 2D shape for geometric shape , diagrams ,pie charts , triangle in high resulation edited and data collection like statistics table, more set notation or curve tracing map etc. ..

Commented by Tinku Tara last updated on 15/Jun/20

The post was meant to be a geometry question.��

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