Solving for Parameter Restrictions in Q2: Geometric Help Needed

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Homework Help Overview

The problem involves determining parameter restrictions related to a geometric configuration of crosses and lines, specifically focusing on the distances from the center of the cross to the closest lines and the angle of intersection.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to identify geometric restrictions based on the number of intersections of the cross with the lines, while some participants question the possibility of the cross intersecting multiple lines.

Discussion Status

The discussion is exploring various interpretations of how the cross interacts with the lines, with some participants providing clarifications about the configuration and potential intersections. There is an ongoing examination of the geometric setup without a clear consensus on the implications of these interactions.

Contextual Notes

Participants are considering the specific dimensions and arrangements of the crosses and lines, including the unit lengths and distances involved, which may influence the parameter restrictions being discussed.

hedipaldi
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Homework Statement



The problem is Q2 in the attached

Homework Equations


The Attempt at a Solution


I am trying to determine the rigion of parameters for each number of crosses,where x and y are the distances of the center of cross from the closest line respectively,and θ is the acute angle.I need some help with this.My problem is in determining the geometric restrictions for each number of intersections,rather than the probability computatons.
 

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Last edited:
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Can the cross intersect more than one line?
 
Yes,it can.
 
Last edited:
hedipaldi said:
Yes,it can.
I intended that as a rhetorical question. The cross is two unit-length needles joined at their mid-points; the lines are unit distance apart. The cross can intersect the same line with both needles, but I fail to see how it can intersect two lines.
 

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