Review Presentations: Distance Between a Point and a Plane

When finding the distance between a point and a place, you will be given a point as well as an equation of a plane.  The formula for finding distance is: D = |PQ x n|/||n||
Q will be given to you as a point, and n will be the numbers you pull out from the equation.  For example Q (1,5,2) and 2x +3y -z + 5. n = <2,3,-1>
The next step deals with finding vector PQ. You will use Q as your terminal and you will create an initial by zeroing two variables from the plane equation. This will give you P = (0,0,-5) Then you must find the dot product of PQ and n which will equal -20, but the absolute value of that is 20. and you will divide that by the magnitude of n which is found by the square root of all the numbers squared of the vector which will equal root 14.
Your final answer will be 20/√14