BSNS102 Study Guide - Final Guide: Vpro, Novella

• School: University of Otago
• Department: Business Studies
• Course: BSNS102
• Professor: Drew Stelljes

Document Summary

Figure 8. 9: rotating about the x-axis in 3d. After constructing a matrix from the rotated basis vectors, we have: Figure 8. 10: rotating about the y-axis in 3d. Figure 8. 11: rotating about the z-axis in 3d. We can also rotate about an arbitrary axis in 3d, provided of course that the axis passes through the origin, since we are not considering translation at the moment. This is more complicated and less common than rotating about a cardinal axis. The axis will be defined by a unit vector n. as before, we will define q to be the amount of rotation about the axis. Let"s derive a matrix to rotate about n by the angle q. In other words, we wish to derive the matrix r(n, q) such that where v" is the vector v after rotating about n. let us first see if we can express v" in terms of v, n, and q.