Hi all, I'm having a bit of trouble with this linear algebra question, and would really appreciate some help:

Find the distance from P(3,0,-1) to the planePdescribed by the equation 4x + 2y -z = 6.

Find the closest point to P which lies on the PlaneP.

I've got the distance -- that's (the square root of 21)/3.

But I keep getting the coordinates of the closest point wrong.

I get (4/3, 2/3, -1/3), but the answer's apparently (5/3, -2/3, -2/3)

What am I doing wrong?