## How to find shortest distance between two lines

## SHORTEST DISTANCE BETWEEN TWO LINES

1st of all we shall find out shortest distance between two Parallel lines.

Consider two parallel lines whose equations in vector form are given by## Problem 1

_{ ,}

_{ }and

_{ }vectors ,we get

Now applying this formula to find the shortest distance between two lines .

=√(81)+(196)+(16)

=√293

Magnitude of
= √49

= 7

Putting all these values in the formula of Shortest Distance between two lines .Now Find distance between two skew lines i.e. Lines which are not Parallel lines.

##
**Problem 2**

Consider two parallel lines whose equations in vector form are given by

Now comparing these equations with standard form , and write_{ ,}

_{ }and

_{ }vectors ,we get

Now applying this formula to find the shortest distance between two lines

**Don't Forget Watch this Video to understand better**

## FINAL WORDS

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**HOW TO FIND SHORTEST DISTANCE BETWEEN TWO LINES".**

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