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Vectors

Swarna's Avatar
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Joined: 25 May 2008
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8 Jun 2008 13:54:08 IST
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show vector a=3i-2j+k,vector b=i-3j+5k & vector c=2i+j-4k make right angled triangle
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show vector a=3i-2j+k,vector b=i-3j+5k & vector c=2i+j-4k make right angled triangle


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ankur gupta's Avatar

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Joined: 10 Mar 2007
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8 Jun 2008 14:08:02 IST
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as a.c= 0
nd |b|^2 = |a|^2 + |c|^2
thus ,these vectors make a right angled triangle at B

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Joined: 10 Jun 2008
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13 Jun 2008 23:41:36 IST
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a=3i+2j+k,IaI^2=14


IbI^2=35


IcI^2=21so,IaI^2+IcI^2=IbI^2


so, its right anled triangle

AyuSH jaiN ## 's Avatar

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Joined: 30 Dec 2007
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27 Jun 2008 20:05:31 IST
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THIS IS VERY SIMPLE QUESTION JUST USE THE CONCEPT OF DOT PRODUCT so (a.c=0) therfore angle between them is 90 so hence proved



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