Originally Posted by

**gva0324** Hello I came up this problem revising for my exam. I need help understanding some of the theory behind this...so if anyone can help I would extremely appreciate it.

u = i - 2j v = 2i + 3j

1. Find a Cartesian equation for the plane P containing the point Q(3,2,1) and parallel to u and v.

The plane will have the same normal as u and v. This means the normal is parallel to (0,0,1) making the formula for the plane be z = 1

Is this right?

2. Find the perpendicular distance between the plane P and the origin O (0,0,0)

For this the answer is (0,0,1) apparently. Could somebody explain me why it is this??

3. Which of the points A(1,2,2), B (2,1,1), C(-1,6,2) belong to the plane P?

How do I find this? Do I multiply the position vectors by the normal (0,0,1) and see if this is equal to 1?

Also does anybody know a good website explaining these type of problems because my notes and books do not cover it yet it is still in the exam!

Thanks for helping!