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Question

If a=2^i+3^j4^k, b=^i+^j+^k, c=4^j+3^k then |(¯¯¯aׯ¯b)ׯ¯c|

A
10
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B
1
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C
2
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D
1421
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Solution

The correct option is D 1421
(¯aׯb)ׯc=(¯a¯c)¯b(¯b¯c)¯a, vector triple product
=07¯a, ac=3(4)4(3)=0
|(¯aׯb)ׯc|=7|a|=722+32+(4)2=729=1421

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