Question

Choose correct alternatives :

The shortest distance between the lines `vecr = (hati + 2hatj + hatk) + lambda(hati - hatj + hatk) and vecr = (2hati - hatj - hatk) + μ(2hati + hatj + 2hatk)` is ______.

Options

• `(1)/sqrt(3)`

• `(1)/sqrt(2)`

• `(3)/sqrt(2)`

• `sqrt(3)/(2)`

Answer 1

The shortest distance between the lines `vecr = (hati + 2hatj + hatk) + lambda(hati - hatj + hatk) and vecr = (2hati - hatj - hatk) + μ(2hati + hatj + 2hatk)` is `bb(underline((3)/sqrt(2))`.