Answer :

Given: Equation of line is


Equation of plane is


To find: angle between line and plane


Formula Used: If θ is the angle between a line with direction ratio b1:b2:b3 and a plane with direction ratio of normal n1:n2:n3, then



Explanation:


Here direction ratio of the line is 2 : 2 : 1


Direction ratio of normal to the plane is 6 : -3 : 2


Therefore,





Therefore, angle between the line and plane is

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