If vectors \stackrel{\^}{a}, \stackrel{\^}{b}, \stackrel{\^}{c} are in space such that {a} ^{\^}.\stackrel{\^}{b}=\stackrel{\^}{b} . \stackrel{\^}{c}={c} ^{\^}. \stackrel{\^}{a}=\frac{1}{2}, then (\stackrel{\^}{a} \\times{b^{\^}}) \.(\stackrel{\^}{a} \\times(b ^{\^}\\times\stackrel{\^}{c})) is equal to

JEE Advanced 2021 Full Test 3 Paper 1

PART – III

Mathematics

SECTION – A (One Options Correct Type)
This section contains 06 multiple choice questions. Each question has four choices (A), (B), (C) and (D), out of which ONLY ONE option is correct.

Question : 39 of 54

Marks: +1, -0

If vectors

are in space such that

, then (

).(

×(

)) is equal to

1
√2
−
1
√2
1
2√2
−
1
2√2

Validate

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