If θ is the angle between line whose ratios are a1, b1, c1 and the plane ax + by + cz + d = 0 then

Category: QuestionsIf θ is the angle between line whose ratios are a1, b1, c1 and the plane ax + by + cz + d = 0 then
Editor">Editor Staff asked 11 months ago

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) False
 
I 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
NCERT Solutions for Subject Clas 12 Math Select the correct answer from above options 
Interview Questions and Answers, Database Interview Questions and Answers for Freshers and Experience

1 Answers
Editor">Editor Staff answered 11 months ago

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=\(\frac {a1a+b1b+c1c}{\sqrt {a^2+b^2+c^2} \sqrt{a1^2+b1^2+c1^2 }}\).