# find 3x3 rotation matrix

by yanyin
Tags: matrix, rotation
 P: 21 Hi, if i want to find a 3x3 matrix R which represents a rotation of Pi/6 around the axis of rotation v(vector)={1, 2, 3}. how can i find it?
 Sci Advisor P: 1,182 Are you saying that your axis is along a vector that starts at the origin of the coordinate system and has its tip at the point (x,y,z)=(1,2,3)? And is your rotation direction clockwise or counterclockwise as viewed from the perspective of (0,0,0)?
P: 21
 Originally posted by Janitor Are you saying that your axis is along a vector that starts at the origin of the coordinate system and has its tip at the point (x,y,z)=(1,2,3)? And is your rotation direction clockwise or counterclockwise as viewed from the perspective of (0,0,0)?
Thanks. it's a vector from origin to (1, 2, 3). which direction? i am not sure yet. let say clockwise.

HW Helper
P: 2,533

## find 3x3 rotation matrix

Start by figuring out what the result of rotating
[0,0,1]
[0,1,0]
and
[1,0,0]
are.

Once you've done that, you shouldn't have any trouble making hte matrix.
 Sci Advisor P: 1,182 This link may or may not help: http://en.wikipedia.org/wiki/3D_projection