Home/Question #3973
JEE Main 2000Medium

Q.If a\vec{a}, b\vec{b}, c\vec{c} are non-coplanar vectors, then (ab×c)a+(bc×a)b+(ca×b)c=(\vec{a} \cdot \vec{b} \times \vec{c}) \vec{a} + (\vec{b} \cdot \vec{c} \times \vec{a}) \vec{b} + (\vec{c} \cdot \vec{a} \times \vec{b}) \vec{c} =

a
0\vec{0}
b
[abc](a+b+c)[\vec{a} \vec{b} \vec{c}] (\vec{a} + \vec{b} + \vec{c})
c
a+b+c\vec{a} + \vec{b} + \vec{c}
d
[abc]a[\vec{a} \vec{b} \vec{c}] \vec{a}

Correct Answer: Option B

The correct solution involves applying the fundamental concept to derive the final value step by step...

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