SOLUTION: Hello, I need some help to find a unit vector perpendicular to the plane x - 2y - 2z = 10

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Question 1092170: Hello, I need some help to find a unit vector perpendicular to
the plane x - 2y - 2z = 10
Found 2 solutions by ikleyn, Alan3354:
Answer by ikleyn(52792) About Me  (Show Source):
You can put this solution on YOUR website!
.
It is the vector (1,-2,-2) normalized (scaled) by its length d = sqrt%281%5E2+%2B+%28-2%29%5E2+%2B+%28-2%29%5E2%29 = sqrt%281%2B4%2B4%29 = sqrt%289%29 = 3.


So, the unit vector under the question is (1%2F3,-2%2F3,-2%2F3).


Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
It's normal to the plane, not perpendicular.