Intersection of plane in spherical coordinate system

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SUMMARY

The discussion focuses on calculating the line of intersection between two planes defined by points in a spherical coordinate system. The points are represented as Point1 (r1, theta1, phi1) and Point2 (r2, theta2, phi2). The required output includes the intersection line and the azimuth angle relative to 0°. Participants provided insights on using mathematical transformations and vector analysis to derive the intersection line and the corresponding azimuth angle.

PREREQUISITES
  • Spherical coordinate system fundamentals
  • Vector mathematics and transformations
  • Understanding of azimuth and angles
  • Basic knowledge of plane equations in 3D space
NEXT STEPS
  • Research methods for converting spherical coordinates to Cartesian coordinates
  • Learn about the equations of planes in three-dimensional space
  • Study vector cross products to find intersection lines
  • Explore azimuth angle calculations in spherical coordinates
USEFUL FOR

Mathematicians, physicists, and engineers working with 3D geometry, particularly those involved in computer graphics, robotics, or any field requiring spatial analysis in spherical coordinates.

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Dear Friends,

I have below query

Available data:
Point1 (r1,theta1,phi1)
Point2 (r2,theta2,phi2)
where in spherical coordinate system
r(i)=radius
theta(i)=angle
phi(i)=azimuth

Required output:
Line of intersection by individual planes generated by each point i.e. from point1 we got plane1 and from point2 we got plane2.

And azimuth or say angle with 0° of this line.

Please help me in this.
 
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Please help me in this
 

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