Name: Anonymous 2009-05-21 18:30
I've got the following scenario as part of a project, and the last bit from P3 to P4 has really got me stumped. If P3 -> P4 is translation, what is P -> P1? What actually happens at P3 -> P4?
"A point P in three dimensional space has position vector P = xi + yj + zk where i,j,k are a set of mutually perpendicular unit vectors and x,y and z are the number of units in the directions of the i,j and k vectors respectively.
The point P is moved 1 unit in the negative x direction so that its new position vector is P1. P1 is then rotated clockwise about the z-axis by 15degrees to P2 , rotated anticlockwise about the z-axis by 75degrees to P3, and then translated to its final position at P4."
"A point P in three dimensional space has position vector P = xi + yj + zk where i,j,k are a set of mutually perpendicular unit vectors and x,y and z are the number of units in the directions of the i,j and k vectors respectively.
The point P is moved 1 unit in the negative x direction so that its new position vector is P1. P1 is then rotated clockwise about the z-axis by 15degrees to P2 , rotated anticlockwise about the z-axis by 75degrees to P3, and then translated to its final position at P4."