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

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Vectors> Q1...

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

ilham rafie , 14 Years ago

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1 Answers

Arun Kumar

Last Activity: 11 Years ago

${\bf r}\cdot{\bf n}={\bf a}\cdot{\bf n}.\\ {\bf r}\cdot{\bf n}=D \\dis\,from\,origin=\frac{D}{|{\bf n}|}. \\ \\ so \,dis \,between\,planes=|D_{1}-D_{2}|/|n|$

$|5-18|/\sqrt{3^2+9^2+12^2}$

Arun Kumar

IIT Delhi

Askiitians Faculty

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Vectors> Q1...

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

ilham rafie , 14 Years ago

Arun Kumar

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