Answer :

Given :


Equation of line :


Equation of plane : 10x + 2y – 11z = 3


To Find : angle between line and plane


Formulae :


1) Parallel vector to the line :


If equation of the line is then,


Vector parallel to the line is given by,



2) Normal vector to the plane :


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


Vector normal to the plane is given by,



3) 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,


10x + 2y – 11z = 3


normal vector to the plane is




Therefore, angle between given line and plane is









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