Question

Prove that, for any three vectors \(\vec{a},\vec{b},\vec{c}\)

\([\vec{a}+\vec{b}\,\,\vec{b}+\vec{c}\,\,\vec{c}+\vec{a}]\) \(=[\vec{a},\vec{b},\vec{c}]\)

Answer 1

[By property of scalar triple product]

[By property of circularly rotation]