3 Dimensional force applied to object

[Raios168]

Homework Statement

A force of (4,-2,7) is applied to an object lying in the x-z plane that angles 32 degrees above the positive x-axis. Find the work done by this force over 3.0 meters of motion.

My confusion is due to the solution my textbook gives. It says the displacement is in the x-y plane but how can that be if the object is lying in the x-z plane? Is the solution wrong or am I not understanding the question correctly?

Thanks in advance

 

[Simon Bridge]

Have you written the question out as it is written down in front of you?
As written above, it is unclear what it is that "angles 32 degrees...".

Are we to understand that the object is confined to a line in the x-z plane?
In which case, it cannot move in the y direction. However, merely lying in the x-z plane does not mean it has to stay in the x-z plane.