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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