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Question

The scalar triple product
[a+bcb+cac+ab] is equal to

A
0
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B
[abc]
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C
2[abc]
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D
4[abc]
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Solution

The correct option is D 4[abc]
(b+ca)×(c+ab)=2b×c+2c×a
Thus required scalar triple product
=2(a+bc).(b×c+c×a)=4[abc]

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