在3D空间中移动点

Question

I have a point at 0,0,0 I rotate the point 30 deg around the Y axis, then 30 deg around the X axis. I then want to move the point 10 units forward.

I know how to work out the new X and Y position

MovementX = cos(angle) * MoveDistance;
MovementY = sin(angle) * MoveDistance;

But then I realised that these values will change because of Z, won't they?

How do I work out Z and have I worked out X and Y correctly?

Thanks!

Answer 1

You should multiply point coordinates to full rotation matrix, which is matRotationTotal = matRotationX * matRotationY * matRotationZ . Check this article for details.