Question

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

Answer 1

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