Q.If $\vec{a} \times \vec{b} = \vec{b} \times \vec{c}$ and $\vec{a} \times \vec{c} = \vec{c} \times \vec{a}$ , then

\vec{a}

\vec{b}

\vec{c}

are coplanar

\vec{b}

is perpendicular to

\vec{a}

and

\vec{c}

\vec{a}

is parallel to

\vec{b}

\vec{b} = \vec{c}

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

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Q.If a⃗×b⃗=b⃗×c⃗\vec{a} \times \vec{b} = \vec{b} \times \vec{c}a×b=b×c and a⃗×c⃗=c⃗×a⃗\vec{a} \times \vec{c} = \vec{c} \times \vec{a}a×c=c×a, then