Find the angle between the planes 5x + 2y + 3z + 1 = 0 and (1, 1, -2).

Category: QuestionsFind the angle between the planes 5x + 2y + 3z + 1 = 0 and (1, 1, -2).
Editor">Editor Staff asked 11 months ago

Find the angle between the planes 5x + 2y + 3z + 1 = 0 and (1, 1, -2).
 
(a) 30.82
 
(b) 3.43
 
(c) 11.23
 
(d) 7.54
 
The question was asked during an online exam.
 
Question is taken from Three Dimensional Geometry topic 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

Correct choice is (b) 3.43
 
The best I can explain: Angle between a plane and a line sin θ=
a1a+b1b+c1c
a
2
+
b
2
+
c
2










a
1
2
+b
1
2
+c
1
2













 
 
sinθ = 0.06
 
θ = 3.43