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Question

If a=^i+^j+^k,b=^i^j+^k,c=^2i+^3j^k, then (a×b)×c=

A
2^i6^j+2^k
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B
6^i2^j+6^k
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C
6^i+2^j6^k
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D
6^i+2^j+6^k
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Solution

The correct option is D 6^i2^j+6^k
(a×b)×c =[c×(a×b)]
=[a(c.b)b(c.a)]
=b(c.a)a(c.b)
=(ij+k)(2+31)(i+j+k)(231)
=4i4j+4k(2i2j2k)
=6i2j+6k

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