![Find the projection of AP Along 11 mid then calculate d, the distance from P to the plane. The
line segment of length d and the vector n are both perpendicular to the plane.
Solution
Projection of AP along n = (AP.n)/(n.n) n
= [(3,4,2).(2,2,-1)/(2,2,-1).(2,2,-1)] <2,2,-1>
= (12/9) <2,2,-1>
= <8/3 , 8/3 , -4/3>
d = (8/3)^2 + (8/3)^2 + (-4/3)^2 = (64/9 + 64/9 + 16/9) = 4](https://image.slidesharecdn.com/findtheprojectionofapalong11midthencalculatedthedistance-230325082344-e9a1d62a/85/Find-the-projection-of-AP-Along-11-mid-then-calculate-d-the-distance-pdf-1-320.jpg)
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Find the projection of AP Along 11 mid then calculate d, the distance.pdf
- 1. Find the projection of AP Along 11 mid then calculate d, the distance from P to the plane. The line segment of length d and the vector n are both perpendicular to the plane. Solution Projection of AP along n = (AP.n)/(n.n) n = [(3,4,2).(2,2,-1)/(2,2,-1).(2,2,-1)] <2,2,-1> = (12/9) <2,2,-1> = <8/3 , 8/3 , -4/3> d = (8/3)^2 + (8/3)^2 + (-4/3)^2 = (64/9 + 64/9 + 16/9) = 4