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Community Discussion Question: VECTORS

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31 Mar 2008 15:41:26 IST

Subject: VECTORS

gaurav_2351 (8)

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if (a cross b) cross c = a cross ( b cross c )

a.b

b.c

0 then a and c r related as ?????????????

(ans - they r parallel)

31 Mar 2008 17:25:02 IST

Subject: Re:VECTORS

srujana (3269)

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$(a\times b)\times c=a\times(b\times c)\\\ \\ \Rightarrow (a.c)b-(b.c)a=(a.c)b-(a.b)c\\\ \\ \Rightarrow (b.c)a=(a.b)c\\\ \\ Since,\ (a.c)\ and\ (a.b)\ are\ scalars\ and\ (a.b) \neq 0,(a.c) \neq 0,\\\ \\let\ (b.c)\ =l\ and\ (a.b)\ =m\\\ \\ \Rightarrow la=mc\\\ \\ \Rightarrow a=(\frac{m}{l})c\\\ \\ \Rightarrow a=kc\\\ \\ \Rightarrow a \parallel c$

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