If θ is the angle between line whose ratios are a1, b1, c1 and the plane ax + by + cz + d = 0 then(a) .(b) True(c) FalseI have been asked this question by my college director while I was bunking the class.The origin of the question is Three Dimensional Geometry in chapter Three Dimensional Geometry of Mathematics – Class 12

If θ is the angle between line whose ratios are a1, b1, c1 and the pl

1.	If θ is the angle between line whose ratios are a1, b1, c1 and the plane ax + by + cz + d = 0 then(a) .(b) True(c) FalseI have been asked this question by my college director while I was bunking the class.The origin of the question is Three Dimensional Geometry in chapter Three Dimensional Geometry of Mathematics – Class 12
Answer» Right option is (b) True To explain: A mathematical symbol θ is used to FIND the ANGLE between line and a NORMAL line to the plane π along with a trigonometric function called sine. Hence, the formula sin θ=\(\frac {a1a+b1b+c1c}{\sqrt {a^2+b^2+c^2} \sqrt{a1^2+b1^2+c1^2 }}\).

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