# vectors help- shortest distance

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• March 16th 2014, 10:37 AM
Tweety
vectors help- shortest distance
Find the shortest distance from the point (0,1,6) to the line that passes
through the two points (-1,1,4) and (1,0,5).
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am not sure what equation to use?

$r = r_{0} + \lambda t$ ?
• March 16th 2014, 10:43 AM
romsek
Re: vectors help- shortest distance
• March 16th 2014, 10:51 AM
Plato
Re: vectors help- shortest distance
Quote:

Originally Posted by Tweety
Find the shortest distance from the point (0,1,6) to the line that passes
through the two points (-1,1,4) and (1,0,5).

If $\ell: P+tD$ is a line and $X$ is a point the the distance from the point to the line is:

$D(\ell;X)=\dfrac{\|\overrightarrow {PX}\times D\|}{\|D\|}$