Find the angle between the line and the plane 10x + 2y – 11z = 3.

Direction ratios of the line are (2,3,6)

Direction ratio of a line perpendicular to the plane


10x + 2y – 11z = 3 are 10, 2, – 11


As we know that the angle θ between the line and a plane a2x + b2y + c2z + d2 = 0 is given by



If θ is the angle between the line and the plane, then





sinθ = θ = sin – 1(


the angle between the plane and the line is sin – 1(


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