Cartesian equation of two lines are x+2/2 = y+2/4 = Z+2/1, x-1/2 = y-1/-3 = z - 1/-4

Question

Cartesian equation of two lines are

\(\frac{x+2}{2} = \frac{y+2}{4} =\frac{z+2}{1}, \frac{x-1}{2} = \frac{y-1}{-3} = \frac{z-1}{-4}\)

(i) Write the vector equation of the lines. 

(ii) Shortest distance between the lines. 

Answer 1

= \(|\frac{-51}{\sqrt{465}}|\) = \(\frac{51}{\sqrt{465}}\)