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The foot of the perpendicular drawn from the origin to the plane is (2,5,7). FInd the equation of the plane.

The foot of the perpendicular drawn from the origin to the plane is (2,5,7). FInd the equation of the plane.

Grade:Upto college level

1 Answers

SHAIK AASIF AHAMED
askIITians Faculty 74 Points
8 years ago
Hello student,
Please find the answer to your question below
Equation of plane passing through and perpendicular to oa
a=2i+5j+7k
n=OA=2i+5j+7k
Required plane equation is r.n=a.n
r(2i+5j+7k)=(2i+5j+7k)(2i+5j+7k)
so r(2i+5j+7k)=78
In cartesian form 2x+5y+7z=78
Note:the above notations r,n,oa are vectors

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