Given: Equation of line is

_{Equation of the plane is 2x – 3y + z = 5}

_{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 1 : -2 : -3

Direction ratio of normal to the plane is 2 : -3 : 1

Therefore,

Therefore, angle between the line and plane is