Question

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

Answer 1

Correct option is (c) 66.92

The best explanation: Angle between a plane and a line sin  θ=\(\frac {a1a+b1b+c1c}{\sqrt {a^2+b^2+c^2} \sqrt{a1^2+b1^2+c1^2 }}\)

sinθ = 0.92

θ = 66.92