Lecture 4: Transforms (46)

An interpretation of this would be: Pick your rotation around ONE axis

You will affect two of the three axes

Rotation about a 2D space, keep other one constant

In short, you are working to rotate utilizing two axes at a time (mini-proof is notice the columns with the 1s and the 2D rotation like elements in the matrix)


@ochan1 -- thank you!


For Ry(α)\mathbf{R}_y(\alpha), where would the red arrow go? And how about for Rz(α)\mathbf{R}_z(\alpha). Why does the top-right sin(α)\sin(\alpha) in the second matrix lack a negative sign?


To rotate in an even greater dimension, would we just follow the same patterns of these rotation matrices and also add rotation matrices for the extra dimensions?

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