New coordinates by 3D rotation of points Calculator

Calculates the new coordinates by rotation of points around the three principle axes (x,y,z).

 original coordinates (x, y, z) = ( ,,) Rotation order and Angle: Angle Unit：DegreeRadian (Rotation Axis 0:x, 1:y, 2:z) (Right-handed: +) 6digit10digit14digit18digit22digit26digit30digit34digit38digit42digit46digit50digit
 $\normal Rotation\ of\ points\hspace{20}\theta:\qquad (x,y,z)\rightarrow (x',y',z')\\\vspace{5}\begin{equation} \begin{pmatrix} x'\\ y'\\ z'\\ \end{pmatrix}_{x}= \begin{pmatrix} 1 & 0 & 0 \\ 0 & \cos\theta & -\sin\theta \\ 0 & \sin\theta & \cos\theta \end{pmatrix} \begin{pmatrix} x\\ y\\ z\\ \end{pmatrix}\end{equation}\\\vspace{5}\begin{equation} \begin{pmatrix} x'\\ y'\\ z'\\ \end{pmatrix}_{y}= \begin{pmatrix} \cos\theta & 0 & \sin\theta \\ 0 & 1 & 0 \\ -\sin\theta & 0 & \cos\theta \end{pmatrix} \begin{pmatrix} x\\ y\\ z\\ \end{pmatrix}\end{equation}\\\vspace{5}\begin{equation} \begin{pmatrix} x'\\ y'\\ z'\\ \end{pmatrix}_{z}= \begin{pmatrix} \cos\theta & -\sin\theta & 0 \\ \sin\theta & \cos\theta & 0 \\ 0 & 0 & 1 \end{pmatrix} \begin{pmatrix} x\\ y\\ z\\ \end{pmatrix}\end{equation}$

New coordinates by 3D rotation of points
 [1-2] /2 Disp-Num5103050100200
[1]  2019/05/08 09:30   Female / 20 years old level / High-school/ University/ Grad student / Useful /
Purpose of use
Rotation matrix visualization
[2]  2018/09/29 17:08   Male / 20 years old level / High-school/ University/ Grad student / Very /
Purpose of use
Research on 3d co-ordinates spherical, rectangular and cylindrical form s

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