Recent content by DHeshMan
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Graduate Minimum distance between a point and a bounded line in 3D
Thank you. For those that want a little more clarification, I have the following: Using the dot product: point Pn = <xn, yn, zn> direction dPn = (dxn, dyn, dzn) A = The line through P1 and P2 = <x1, y1, z1> + t(x2-x1, y2-y1, z2-z1) B = The line through P0 and P4 = <x0, y0, z0> +...- DHeshMan
- Post #7
- Forum: Differential Geometry
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Graduate Minimum distance between a point and a bounded line in 3D
I'm a little confused. My original problem statement used P0, P1, P2, and P4 (I inadvertently skipped P3). P0 is the external point, P1 and P2 are the end points of the line, and P4 was the point on the line closest to P0. Your solution uses P1, P2, and P3? If I follow your theory...- DHeshMan
- Post #5
- Forum: Differential Geometry
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Vector 'B' When Vector Product with 'A' is Zero
Ok, to put it very simply, since vector A is along the z axis, its definition will be some magnitude in the z direction, with no magnitude in x or y. A = mk. Taking the cross product of this vector with any vector in the same direction will equal zero. Or alternatively, taking a cross product...- DHeshMan
- Post #14
- Forum: Introductory Physics Homework Help
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Graduate Minimum distance between a point and a bounded line in 3D
Can you provide details on how to calculate the perpedicular distance to the extended line?- DHeshMan
- Post #3
- Forum: Differential Geometry
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Graduate Minimum distance between a point and a bounded line in 3D
I have a point in 3D specified by its coordinates (x0, y0, z0) I have a line in 3D specified and bounded by its end points (x1, y1, z1) and (x2, y2, z2) How do I calculate the minimum distance between the point and the line, keeping in mind that it may not be the perpendicular distance...- DHeshMan
- Thread
- 3d Bounded Line Minimum Point
- Replies: 7
- Forum: Differential Geometry