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Q. If a and b are two vectors, then the value of $ (a\times b)\times (a-b) $ is

MGIMS WardhaMGIMS Wardha 2013

Solution:

$ (a+b)(a-b)=a\times a-a\times b+b\times a-b\times b=0 $ $ a\times b=-b\times a $ and $ a\times a=0 $ $ (a+b)\times (a-b)=2(b\times a) $