- #1
ezsmith
- 16
- 0
Homework Statement
Determine the distance between the point (10,2,3) and the plane determined by the points A(2,3,0), B(3,1,4), and C(5,2,1).
The Attempt at a Solution
What I did was I took (B-A) and (C-B) and then I cross product (B-A) and (C-B) and I got -10i + 11j + 5k. After this step, I took point (10,2,3) x -10i + 11j + 5k and then I got -63. Lastly I use l-63l divide with the magnitude of the cross product which is [tex]\sqrt{(-10)^2 + 11^2 + 5^2}[/tex] and I got some really weird answer which is [tex]\sqrt{246}[/tex] also known as 15.68 and it end up with 63/15.68 = 4.018. I am afraid I have gone extremely wrong.