If a + 2b + 3c = 4, where a, b, c E R+ and the
greatest value of (abc) is M, then the value of 8
M
is :
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a.{ b× a + 2 b×b + 3 b×c + c×a + 2c×b + 3 c×c)
a.{ b×a + 3 b×c + c× a - 2 b×c )
a. ( b× a + c× a + b× c)
a.( b×a) + a.( c×a) + a.( b×c)
As a.( b×a) and a.( c×a) =0
So a .( b×c) = [ a b c]
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