- #1
robierob12
- 48
- 0
Derive the matrix for the transformation that rotates a point (x,y,z) counterclockwise about the y-axis through an angle (X).
My book gives me a matrice for the y-axis move.
(cosX 0 sinX)
(0 1 0 )
(-sinX 0 cosX)
call the above matrix [A]
Im also given this formula for a unit vector
cos(V)i + cos(W)j + cos(Y)k
The way that I see the question, is that I need to somehow derive matix [A]
from the given unit vector formula.
I just don't see exactly how they are connected here.
I really DON'T want the solution for this, just some insight maby on the connection between the formula and the matrix.
I know that if I have a vector u and an angle (X) I can just multiply
Au to get the rotated vector. So I do know how to use the matrix.
My book gives me a matrice for the y-axis move.
(cosX 0 sinX)
(0 1 0 )
(-sinX 0 cosX)
call the above matrix [A]
Im also given this formula for a unit vector
cos(V)i + cos(W)j + cos(Y)k
The way that I see the question, is that I need to somehow derive matix [A]
from the given unit vector formula.
I just don't see exactly how they are connected here.
I really DON'T want the solution for this, just some insight maby on the connection between the formula and the matrix.
I know that if I have a vector u and an angle (X) I can just multiply
Au to get the rotated vector. So I do know how to use the matrix.