Find the angle between the planes x + 2y + 3z + 1 = 0 and (4, 1, -7).

Category: QuestionsFind the angle between the planes x + 2y + 3z + 1 = 0 and (4, 1, -7).
Editor">Editor Staff asked 11 months ago

Find the angle between the planes x + 2y + 3z + 1 = 0 and (4, 1, -7).
 
(a) – 29.34
 
(b) 3.43
 
(c) 11.23
 
(d) – 17.54
 
This question was addressed to me in my homework.
 
I need to ask this question from Three Dimensional Geometry in section Three Dimensional Geometry of Mathematics – Class 12
NCERT Solutions for Subject Clas 12 Math Select the correct answer from above options 
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1 Answers
Editor">Editor Staff answered 11 months ago

Right choice is (a) – 29.34
 
Explanation: Angle between a plane and a line sin θ=\frac {a1a+b1b+c1c}{\sqrt {a^2+b^2+c^2} \sqrt{a1^2+b1^2+c1^2 }}
 
sin θ = – 0.49
 
θ = sin^-1(- 0.49)
 
θ = – 29.34