Answer :

Given :


Equation of line :


Equation of plane :


To Find : angle between line and plane


Formulae :


1) Angle between a line and a plane :


If Ө is a angle between the line and the plane , then



Where, is vector parallel to the line and


is the vector normal to the plane.


Answer :


For given equation of line,



Parallel vector to the line is




For given equation of plane,



normal vector to the plane is




Therefore, angle between given line and plane is










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