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Question

If |a|=2 and |b|=3 and ab=0, then (a×(a×(a×(a×b)))) is equal to

A
48^b
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B
8^b
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C
48^a
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D
48^a
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Solution

The correct option is B 8^b
a=2, b=3, ab=0ab
Now, a×(a×b)=(ab)a(aa)b
=04b=4b
(a×(a×(a×b))))
=a×(a×4b)
=(a(4b))a(aa)(4b)
=0+8b


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