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Question

Value of (a×b)((b×c)×(c×a)) is

A
[abc]
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B
[abc]2
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C
[abc]3
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D
None of thees
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Solution

The correct option is B [abc]2
(¯aׯb){(¯bׯc)×(¯cׯa)}
=(¯aׯb){[¯b¯c¯a]¯c[¯b¯c¯c]¯a}=(¯aׯb)¯c([¯b¯c¯a])=[¯a¯b¯c]2

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