# 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： Degree Radian (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
 [1-1] /1 Disp-Num5103050100200
[1]  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

Sending completion

To improve this 'New coordinates by 3D rotation of points Calculator', please fill in questionnaire.
Male or Female ?
Male Female
Age
Under 20 years old 20 years old level 30 years old level
40 years old level 50 years old level 60 years old level or over
Occupation
Elementary school/ Junior high-school student
High-school/ University/ Grad student A homemaker An office worker / A public employee
Self-employed people An engineer A teacher / A researcher
A retired person Others
Useful?
Very Useful A little Not at All
Purpose of use?