Given cartesian coordinates x=(z-1)/2, y=1. And p defined as 2x+y-z=1.
1. The plane p divides R3 into two parts. Find the unit vector perpendicular to p and pointing into the part containing the origin O.
2. Let P(x,y,z) be the point on the line l given by x=(z-1)/2 and y=1. Letting x=t for some constant t, find the y and z coordinates of P. Calculate the distance from P to the plane p.
I am so confused as to how to do question 1, can you show me how to work the answers out??
Also for question 2, I get P(x,y,z)=(1,0,2). Is this right? and if so how do I work out the next part of the question, to find the distance from the point to the plane.