A point P in space is defined as ?? ?? = [2,5,7]?? relative to frame B, which is attached to the origin of the reference frame A and is parallel to it. Apply the following transformations to frame B and find ???? ;

1- Rotate 45 about the y-axis. 2- Then, rotate 45 about the local a-axis. 3- Then translate 3 units about the y-axis, 6 units about the z-axis, and 5 units about the x-axis.