Hello all, my problem is rather challenging as it deals with points that are in 3-dimensional space.
I am providing an image and the problem setup described in the text below. Please note that, in the figure, points A, B, C, and D are drawn as cubes for illustrative purposes only. They are actually points that are represented by as coordinates in the x, y, and z axes.
Problem Setup:
1.Let A, B, C & D represent points in 3D space
2.Let there be a cuboid of length L, width and W such that L and W are only long enough and wide enough to contain points A, B, C, and D in 3D space
3.The distance between any two points will always be greater along L than along W
4.Let there be a ray R that traverses the length of and bisects the width of the cuboid
5.Let V1 be a ray that exists between A to B
6.Let V2 be a ray that exists between B to C
7.Let V3 be a ray that exists between C to D
8.Let T be an arc that can be drawn at a arbitrary radius from B such that arc T extends from V1 to V2 along a plane perpendicular to the direction of ray R
9.Let S be an arc that can be drawn at a arbitrary radius from C such that arc S extends from V2 to V3 along a plane perpendicular to the direction of ray R
Problem: Find a formula to determine the angle that can be used to draw arc T or arc S.
Thank you in advance for your help
I am providing an image and the problem setup described in the text below. Please note that, in the figure, points A, B, C, and D are drawn as cubes for illustrative purposes only. They are actually points that are represented by as coordinates in the x, y, and z axes.
Problem Setup:
1.Let A, B, C & D represent points in 3D space
2.Let there be a cuboid of length L, width and W such that L and W are only long enough and wide enough to contain points A, B, C, and D in 3D space
3.The distance between any two points will always be greater along L than along W
4.Let there be a ray R that traverses the length of and bisects the width of the cuboid
5.Let V1 be a ray that exists between A to B
6.Let V2 be a ray that exists between B to C
7.Let V3 be a ray that exists between C to D
8.Let T be an arc that can be drawn at a arbitrary radius from B such that arc T extends from V1 to V2 along a plane perpendicular to the direction of ray R
9.Let S be an arc that can be drawn at a arbitrary radius from C such that arc S extends from V2 to V3 along a plane perpendicular to the direction of ray R
Problem: Find a formula to determine the angle that can be used to draw arc T or arc S.
Thank you in advance for your help
