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_____ is the complement of the angle between the line L and a normal line to the plane π.(a) Normal between a plane and a line(b) The angle between a line and a plane(c) Tangent between a plane and a line(d) Distance between a plane and a lineI had been asked this question in an interview.I would like to ask this question from Three Dimensional Geometry in chapter Three Dimensional Geometry of Mathematics – Class 12

Answer»

The correct CHOICE is (b) The angle between a LINE and a plane

Easiest explanation: The angle between a line and a plane is the complement of the angle between the line L and a normal line to the plane π. If θ is the angle between line whose ratios are a1, b1, c1 and the plane AX + by + cz + d = 0 then SIN θ=\(\frac {a1a+b1b+c1c}{\sqrt {a^2+b^2+c^2} \sqrt{a1^2+b1^2+c1^2 }}\).



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