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Question

If ¯¯¯a,¯¯b, ¯¯c are non-coplanar vectors such that ¯¯¯aׯ¯b=¯¯c,¯¯bׯ¯c=¯¯¯a, ¯¯cׯ¯¯a=¯¯b, then |¯¯¯a|+2|¯¯b|3|¯¯c| is equal to

A
1
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B
0
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C
2
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D
3
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Solution

The correct option is C 0
The given condition is possible only when all three vectors ¯¯¯a,¯¯b,¯¯c are unit vectors, and that also they are mutually perpendicular to each other.
Thus, |¯¯¯a|+2|¯¯b|3|¯¯c|=1+23=0.

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