If `veca,vecb,vecc` are three non- coplanar vectors and `vecp,vecq,vecr` are vectors defined by the relations `vecp=(vecbxxvecc)/([veca vecb vecc]),vecq=(veccxxveca)/([veca vecb vecc]),vecr=(vecaxxvecb)/([veca vecb vecc]),` then the value of expression `(veca+vecb).vecp+(vecb+vecc).vecq+(vecc+veca).vecr` is equal to

Options

A. 0
B. 1
C. 2
D. 3

Answer

B

Explanation

`a*p+b*q+c*r=(a*bxxc)/(["abc"])+(b*cxxa)/(["abc"])+(c*bxxa)/(["abc"])`
`=1+1-1=1`