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AS I KNOW THAT EQATION OF LINE IS POSSIBLE BUT EQUATION OF PLANE IS ALSO POSSIBLE BUT PLANE HAS MANY LINES WITH DIFFERENT EQUATAION HOW IT IS POSSIBLE

AS I KNOW THAT EQATION OF LINE IS POSSIBLE BUT EQUATION OF PLANE IS ALSO POSSIBLE BUT PLANE HAS MANY LINES WITH DIFFERENT EQUATAION HOW IT IS POSSIBLE


 

Grade:

1 Answers

jitender lakhanpal
62 Points
9 years ago

Dear Rajan,

 

when  we write equation of plane we take the vector that lies on the plane and then we take the unit vector that is prpendicular to that 

plane then we do the dot product that comes out to be 0 so all the points lie on that plane satisfies the equation

(r - a) . n = 0 

where a  is the Position vector of the point that lies on the plane(specific point) and r is the position vector of any general point

 

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