Question

The angle between the lines $2x=3y=-zand6x=-y=-4z$ is

• A. $\frac{\pi }{2}$
• B. $0$
• C. $\frac{\pi }{6}$
• D. $\frac{\pi }{4}$

Answer 1

The correct option is A $\frac{\pi }{2}$

Angle between the lines $2x=3y=-z,6x=-y=-4z$ is $90$

Since $a1a2+b1b2+c1c2=0.$

where $a_1=\frac{1}{2},a_2=\frac{1}{6},b_1=\frac{1}{3},b_2=-1,c_1=-1,c_2=\frac{-1}{4}$

Thus the angle between them is $\frac{\pi }{2}$