How to plot a point in 3-D and Rotation of the point ?

1) Plotting points requires a 3x1 matrix and the three elements of that matrix are vectors, too, representing the x-, y- and z-coordinates of the points you'd like to plot. Mathcad accepts row AND column vectors in that 3x1 matrix. If you just want to plot one single point, your 3x1 matrix would consist of three 1x1 matrices!

Furthermore you have to change the plot type from surface plot to "Data Points/Scatter Plot". In case you still get an error (an old bug), change the plot style to vector plot and then back to scatter plot.

You may also demand to have the points connected with lines, but you must keep in mind, that they are just connected in the order they are defined! See the pic

2) Use the usual rotation matrices. See for example here: https://en.wikipedia.org/wiki/Rotation_matrix#Basic_rotations

It sure would help to write some utility functions to convert a normal 3x1 point vector to the data structure needed for the 3D-plot and maybe also the other way round.

To rotate around an arbitrary axis is far more complicated and is best done using homogenous coordinates (quaternions) - see here for example: http://paulbourke.net/geometry/rotate/

With Prime 6 I can't use 3rd rotation angle. So set it to 0 for DataSPH.  (45 degree rotation only)

Thereafter change the XYZ data to XZY and use second DataSPH. (210 degree rotation)

Then convert the data to original XYZ.  

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Nice.  It's a shame one can't create such lots as readily in Mathcad Prime.

https://community.ptc.com/t5/Mathcad/Why-rotatemesh-is-in-red/m-p/766304/highlight/true#M199023

Stuart