Calculus: Find the Distance from the Point to the Plane
Date: 2013-09-23 |
Find the distance from the point P(2,2,3) to the plane 2x + y + 2z = 4
The formula for distance here is:
d = |projN(W)| = (W dot N)/|N|
N is the vector normal to the plane, N = (2,1,2)
W is the point P(2,2,3)
Find the distance by plugging in the values to the formula
d = (22 + 21 + 3*2 – 4)/ 3
Final: d = 8/3
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