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a)) show that the distance between parallel planes Ax+By+Cz+D1=0 and Ax+By+Cz+D2=0 in 3space is: d=l D1 -D2 l/ A^2+B^2+C^2 b)) Use this result to find the distance between the parallel planes 3x-9y-12z+5=0 and x-3y-4z+6=0

a))  show that the distance between parallel planes Ax+By+Cz+D1=0 and Ax+By+Cz+D2=0 in 3space is:


d=l D1 -D2 l/\sqrt{\ } \!\,A^2+B^2+C^2


b)) Use this result to find the distance between the parallel planes 3x-9y-12z+5=0  and x-3y-4z+6=0


 

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1 Answers

Arun Kumar IIT Delhi
askIITians Faculty 256 Points
6 years ago
a.

b.

Arun Kumar
IIT Delhi
Askiitians Faculty

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