Question

If θ is the angle between line whose ratios are a1, b1, c1 and the plane ax + by + cz + d = 0 then

(a) .

(b) True

(c) False

I have been asked this question by my college director while I was bunking the class.

The origin of the question is Three Dimensional Geometry in chapter Three Dimensional Geometry of Mathematics – Class 12

Answer 1

Right option is (b) True

To explain: A mathematical symbol θ is used to find the angle between line and a normal line to the plane π along with a trigonometric function called sine. Hence, the formula

sin θ=\(\frac {a1a+b1b+c1c}{\sqrt {a^2+b^2+c^2} \sqrt{a1^2+b1^2+c1^2 }}\).