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Cool goIITian

Joined: 25 May 2008
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8 Jun 2008 13:57:13 IST
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find d angle b'ween d vectors joining to P1(1,2,3) and P2(2,-3,-1)
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find d angle b'ween d vectors joining to P1(1,2,3) and P2(2,-3,-1)


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'',' Off to a nu start!!'s Avatar

Blazing goIITian

Joined: 13 Jan 2007
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8 Jun 2008 14:00:12 IST
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60 degree.
cos theta = a.b/|a|.|b|

New kid on the Block

Joined: 6 Jun 2008
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8 Jun 2008 14:05:06 IST
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P1.P2/|P1||P2| is coming out to be -1/2... Hence d angle must be 120 degrees starting from P1 and ending in P2...
Swarna's Avatar

Cool goIITian

Joined: 25 May 2008
Posts: 71
8 Jun 2008 14:06:28 IST
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CAN U SHOW D WORKING

New kid on the Block

Joined: 6 Jun 2008
Posts: 21
8 Jun 2008 14:10:56 IST
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P1.P2 = ( i + 2j + 3k ).(2i -3j -k ) = 1.2 - 2.3 - 3.1 = -7
|P1|.|P2| = (rt 14).(rt 14) = 14
cos(theta) = -7/14 = -1/2 => theta = 120 degrees...



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