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If a, b, c are three non-coplanar vectors and p, q, r are defined by the relations p=(b xx c)/([(a, b, c)]), q=(c xx a)/([(a, b, c)]) and r=(b xx a)/([a,b,c]), then a. p+b.q+c.r is equal to

Answer»

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Solution :`a*p+B*q+C*R=(a*bxxc)/(["ABC"])+(b*cxxa)/(["abc"])+(c*BXXA)/(["abc"])`
`=1+1-1=1`


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