a, b, c ​ are three non coplanar vectors and r is any arbitrary vector, then ​

Question

\(\vec a, \vec b, \vec c\) are three non coplanar vectors and \(\vec r\) is any arbitrary vector, then \([\vec b\;\vec c\;\vec r] \vec a + [\vec c\;\vec a\; \vec r]\vec b + [\vec a\;\vec b\;\vec r ]\vec c\)

(a) \([\vec a\;\vec b\;\vec c]\vec r\)

(b) \(2[\vec a\;\vec b\;\vec c]\vec r\)

(c) \(3[\vec a\;\vec b\;\vec c]\vec r\)

(d) None of these

Answer 1

Correct option is (a) \([\vec a\;\vec b\;\vec c]\vec r\)