Find the shortest distance between the following lines whose vector equations are:
and

Question

Find the shortest distance between the following lines whose vector equations are: and

Philoid · Accepted Answer

Key point: Shortest distance between 2 lines and

is given by -

Given the equation of lines are –

⇒

Comparing with

We have –

Another equation is –

⇒

Comparing with

We have –

∴

And

⇒

∴ || =

∴ Shortest distance =

Hence, Required shortest distance b/w given lines = 8/√29