Recent content by petersng
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Graduate Can three elbows generate any point in space?
My sketch is a 2D representation. One must imagine that an elbow is a 3D figure. The normal vector i mentioned if a line originated at the elbow's circular face ("hollow") that is perpendicular to this face. Please see the image...- petersng
- Post #7
- Forum: Linear and Abstract Algebra
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Graduate Can three elbows generate any point in space?
Hello guys and I'm really sorry for my late response, notifications were sent directly to the spam folder... it's been solved. I made a sketch in order to clarify using only two elbows. I wanna prove that if I use three elbows instead I can not only reach any point in space, but also any normal...- petersng
- Post #5
- Forum: Linear and Abstract Algebra
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Graduate Can three elbows generate any point in space?
Consider 3 elbows. One extremity is connected to a plane surface and may rotate 360° freely. The available extremity may be connected to another elbow only if the both faces "face" each other (normal vector aligned). Once one connect a second elbow, a second liberty degree is added, since one...- petersng
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- Space
- Replies: 7
- Forum: Linear and Abstract Algebra