Find the angle between x + 2y + 7z + 2 = 0 and (2, 4, 6).

Category: QuestionsFind the angle between x + 2y + 7z + 2 = 0 and (2, 4, 6).
Editor">Editor Staff asked 11 months ago

Find the angle between x + 2y + 7z + 2 = 0 and (2, 4, 6).
 
(a) 69.69
 
(b) 84.32
 
(c) 66.92
 
(d) 83.25
 
I got this question during an online exam.
 
The question is from Three Dimensional Geometry topic in chapter 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 option is (c) 66.92
 
The best explanation: 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 = 0.92
 
θ = 66.92