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Home › HSSC Panchayat Officer Exams › 2017 (Shift-1)
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If a, b, c, and d are coplanar Vectors, then (a × b) × (c × d) =

A
a
B
b
C
0
D
None of these
Correct Option: C

Explanation

Since a, b, c, and d are coplanar, both a × b and c × d are perpendicular to the same plane. Therefore, these two cross products are parallel or antiparallel. The cross product of parallel vectors is zero, so (a × b) × (c × d) = 0.

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