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I was studying elementary 3D geometry in that I read about shortest distance between two skew lines but in that the fact was used that the shortest distance between two skew lines is given by any line joining them multiplied by $\cos\theta$

Where $\theta$ is the angle between shortest distance and the random line which is considered above.

Everything is fair but I am not able to understand how the relation of two lines by cosine it's true and how to prove it

M. Winter
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super saiyan
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    Just a hint: the $\cos$ comes from the dot product which is used for projections. It holds $$\vec a\cdot\vec b=|\vec a|\cdot|\vec b|\cdot\cos \angle(\vec a,\vec b),$$ where $\angle(\vec a,\vec b)$ means the angle between $\vec a $ and $\vec b$ and might be $\theta$ in your case. – M. Winter Oct 24 '17 at 13:19
  • How can you say that the projection of first would be exactly same I mean they maybe very large or very small – super saiyan Oct 24 '17 at 13:22
  • Sorry, but I do not understand this question at all. – M. Winter Oct 24 '17 at 13:31

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