Q. 94.3( 19 Votes )

# Find the shortest distance between lines

and .

Answer :

Shortest distance between lines with vector equations

and is

⇒

Given -

Comparing with , we get -

&

Similarly,

Comparing with , we get -

&

Now,

⇒

⇒

⇒

⇒

⇒

Magnitude of =

= √144

= 12

Also,

⇒

= -80 + (-16) + (-12)

= -108

Shortest Distance = 9

Hence, the shortest distance between the given two lines is 9.

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