4) If A+B+C =0 then Ä×B is
(1) C×B
(2) B×C
(3) Ā×C
(4) Zero
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4) zero
Solution
Griven
a+b+c=0
⇒a=−b−c...(i)
To prove
a×b=b×c=c×a
Proof:
a×b=(−b−c)×b=−c×b [Using (i)]
b×c=−c×b
c×a=c×(−b−c)=−c
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