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How to find cross point when rays go through plane?


cnreader

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Illustration bellow, where point a is outside of plane S1 and line ab is perpendicular to line bc, which is on the S1. another plane s2 is under S1. line gd through vertex g of s2 and is perpendicular to cd, which is on plane S1. ag and ah is two ray, from point a to vertex g and h individually.

How to define the cross points of these two ray to plane S1? By which way we can get the two cross points?

 

g:\tidcs\acad1.jpg

 

 

 

 

o

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This sounds rather like a maths question..

any more information ? points? vectors or plane equations?

 

Also lines ab & gd are parallel, as they are orthogonal to vectors contained in the plane S1.

 

:)

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This sounds rather like a maths question..

any more information ? points? vectors or plane equations?

 

Also lines ab & gd are parallel, as they are orthogonal to vectors contained in the plane S1.

 

:)

yes, its a math question. geometry drawing.

you are right, ab//gd, as they are all perpendular to plane S1, so they are parallel.

As its belong to a goemetry drawing, so no equation. of cause you can get the cross points by hide render. but I hope not to use this method.

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Ahhh I get the question,

 

wouldn't you just view from the side and end of plane S1 and note where the rays pass through S1 (x,y directions).:unsure:

 

I would much prefer a pure mathematical solution. :)

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no, your answer is wrong.

a little cute:

try to draw a plane adg, it will be perpendicular to S1 (can you prove?) then find cross line of S1 and adg, which will cross ag, the cross point is one we wanted. (can you prove?)

next ah...

the pure math solution is simple very much, just find the plane equation as well as lines; solve can get the point.

go on...

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Have you drawn the figure in 3D?

 

If you do, then you can take a front view, so that the plane S1 is seen as a line, then trim the lines ah and ag where they cross that line. Then when you go back to your view, then you can see the end of the lines on plane S1.

 

I would prefer the graphical approach, where you can if what you are doing makes sense.

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try to draw a plane adg, it will be perpendicular to S1 (can you prove?)

 

yes the dot product of the normals of the planes will equal zero...

 

the pure math solution is simple very much, just find the plane equation as well as lines; solve can get the point.

go on...

 

You have points 'a' and 'g' so you can get the equation for the line.

 

You have 2 points 'b' and 'c' on plane S1 and the normal 'ba' so you can get the equation for the plane S1

 

solve the 2 equations simultaneuosly to get the point that satisfies S1 and 'ag'.

 

 

But this being a CAD site post the drawing so we can have a look at a graphical solution.

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If the objective is to find where a linear element would intersect a plane described by a planar element then this AutoCAD assist may help.

 

The first two picks must be on the linear element, and the following three must be on the planar.

 

C^C^_Point;'cal;ilp(nea,nea,nea,nea,nea);pdmode;34;

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yes the dot product of the normals of the planes will equal zero...

 

You have points 'a' and 'g' so you can get the equation for the line.

You have 2 points 'b' and 'c' on plane S1 and the normal 'ba' so you can get the equation for the plane S1

solve the 2 equations simultaneuosly to get the point that satisfies S1 and 'ag'.

But this being a CAD site post the drawing so we can have a look at a graphical solution.

 

quit right, you have a good math foundation.

Its easy for you to get the graphic solution in theacad. I m sure.

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If the objective is to find where a linear element would intersect a plane described by a planar element then this AutoCAD assist may help.

 

The first two picks must be on the linear element, and the following three must be on the planar.

 

C^C^_Point;'cal;ilp(nea,nea,nea,nea,nea);pdmode;34;

yes if object is to find. all is easy.

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Have you drawn the figure in 3D?

 

If you do, then you can take a front view, so that the plane S1 is seen as a line, then trim the lines ah and ag where they cross that line. Then when you go back to your view, then you can see the end of the lines on plane S1.

 

I would prefer the graphical approach, where you can if what you are doing makes sense.

if you use 3D viewport. its easy to solve. but I try to get it in 2D space. see PS_PORT's answer. not bad.post_old.gif Yesterday, 11:44 am #7 PS_Port vbmenu_register("postmenu_218101", true);

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