Let $\vec a, \vec b, \vec c$ be three vectors such that $\vec a×\vec b = \vec c$ and $\vec c×\vec a = \vec b$, then
Answer & explanation
Correct answer: option 4
We have,
$\vec a×\vec b = \vec c$ and $\vec c×\vec a = \vec b$
$⇒\vec c⊥\vec a,\vec b$ and $\vec b⊥\vec c,\vec a$
$⇒\vec a$ perpendicular to both $\vec b$ and $\vec c$