← // further maths

// further maths

3D Transformations

3x3 Matrices and the transformations they produce in 3D

created March 18, 2026 updated May 31, 2026 1 min read

Unit vectors

The Cartesian basis vectors are

i=[100]j=[010]k=[001]\mathbf{i}=\begin{bmatrix}1\\0\\0\end{bmatrix} \qquad\qquad \mathbf{j}=\begin{bmatrix}0\\1\\0\end{bmatrix} \qquad\qquad \mathbf{k}=\begin{bmatrix}0\\0\\1\end{bmatrix}

more coming soon