Rotation of 4 vetices

Hello,

Hope you are fine,

I have 4 vertices that form a square,

each vertices v is of coordinate x y z

v1= [x1 y1 z1]

v2= [x2 y2 z2]

v3= [x3 y3 z3]

v4= [x4 y4 z4]

I want to rotate this square toward identified vector of direction n=[a b c]

thanks for your help

Best regards

Saeed

[Ameer Hamza]

Can you explain what do you mean by rotation here? Rotation around the origin or rotation about the center of the square.

[Saeed Zahran]

Yes around the origin,

I want to have 3 squares othogonal to each other

Answer 1

[Matt J]

I want to rotate this square toward identified vector of direction n=[a b c]

Meaning that [a,b,c] is the desired axis of rotation? Regardless, you can use AxelRot,

https://www.mathworks.com/matlabcentral/fileexchange/30864-3d-rotation-about-shifted-axis

[vrotated]=AxelRot([v1;v2;v3;v4].' , deg, [a b c],[0,0,0])

[Saeed Zahran]

Thank you,

[a b c] is the direction of the new square coordination

And what about the deg?

[Saeed Zahran]

I already have the direction as you see below of X, Y and Z, I just want to place the 4 coordinates to corresponding direction

[Matt J]

deg is the angle of rotation about whatever axis of rotation you want.