Question

The condition \(\frac {a}{a1} = \frac{b}{b1} = \frac{c}{c1}\) is for a plane and a line are _____ to each other.

(a) perpendicular

(b) parallel

(c) differential

(d) tangential

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

This intriguing question comes from Three Dimensional Geometry in portion Three Dimensional Geometry of Mathematics – Class 12

Answer 1

The correct answer is (a) perpendicular

The best explanation: θ = 90 degrees

The relation between the plane ax + by + cz + d = 0 and a1, b1, c1 the direction ratios of a line, if the plane and line are perpendicular to each other is \(\frac {a}{a1} = \frac{b}{b1} = \frac{c}{c1}\).