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Vectors

Cool goIITian

 Joined: 23 Jun 2011 Post: 65
28 May 2012 20:05:09 IST
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3
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3D geometry
Engineering Entrance , JEE Main , JEE Advanced , Mathematics , Vectors

Find the angle between the lines whose direction cosines are given by the equations

3l+m+5n=0, 6mn-2nl+5lm=0

Cool goIITian

Joined: 3 Oct 2011
Posts: 82
29 May 2012 17:55:50 IST
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cos^-1(1/6)

Cool goIITian

Joined: 23 Jun 2011
Posts: 65
29 May 2012 22:18:21 IST
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Could you tell me step wise hw u gt d ans?

Cool goIITian

Joined: 3 Oct 2011
Posts: 82
30 May 2012 10:53:22 IST
1 people liked this

take m=-5n-3l and substitute in second equation you will get a quadratic equation in terms of l and n . then u factorize it.                take proportional values of m and n and find l then use cosA =L1L2+M1M2+N1N2

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