Vector Rotations in 3D

vector start point

vector end point

rotation X

rotation Y

rotation Z

ϕ start

0.55

θ start

3.64

rotation

0.

This Demonstration lets you locate two points on a sphere. The points form a vector that can be rotated about the

X

,

Y

, or

Z

axes. The trace of the rotation is made using multiple vectors at 5° increments. Each of these vectors is the product of a rotation matrix (see Details) and the original vector.