Found the xyz-components of velocity, not sure where to go from there..?

In the xyz-coordinate system we have the points P1 = (5.00 m, 0, 0) on the x-axis, P2 =(0,5.00m,0) on the y-axis, andP3 =(0, 0, 5.00 m) on the z-axis. These three points define a plane in 3 dimensional space. At t= 0.00 s, a point mass passes through the origin O with speed v= 3.00 m s-1. The point mass moves in a... show more In the xyz-coordinate system we have the points P1 = (5.00 m, 0, 0) on the x-axis, P2 =(0,5.00m,0) on the y-axis, andP3 =(0, 0, 5.00 m) on the z-axis. These three points define a plane in 3 dimensional space.
At t= 0.00 s, a point mass passes through the origin O with speed v= 3.00 m s-1. The point mass moves in a straight line at an angle 45deg with the negative x-axis and 60deg with the positive y-axis. The z-component of the velocity is positive.
At some time in the past (t< 0) or in the future (t> 0) did (or will) the point mass move through the plane defined by P1, P2, and P3.
At which time will or did the point mass pass through the plane?
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