Q. 134.5( 2 Votes )

Find the angle be

Answer :

Given : equations of planes-


2x + y – 2z = 5


3x – 6y – 2z = 7


To Find : angle between two planes


Formulae :


1) Normal vector to the plane :


If equation of the plane is ax + by + cz = d then,


Vector normal to the plane is given by,



2) Angle between two planes :


The angle Ө between the planes and is given by



Answer :


For given planes


2x + y – 2z = 5


3x – 6y – 2z = 7


Normal vectors are


and





Therefore, angle between two planes is








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