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Question

If ¯a and ¯b are two unit vectors, then the vector (¯aׯb)×(¯aׯb) is parallel to the vector

A
¯a+¯b
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B
¯a¯b
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C
2¯a+¯b
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D
It is zero vector
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Solution

The correct option is D It is zero vector
given
(¯aׯb)×(¯aׯb)
Let
a=^i
b=^j
(¯aׯb)
^i×^j=^k
(¯aׯb)×(¯aׯb)
^k×^k=0

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