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If a, b, c are three non-coplanar vector...

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

A

0

B

1

C

2

D

3

Text Solution

Verified by Experts

The correct Answer is:
B
`a*p+b*q+c*r=(a*bxxc)/(["abc"])+(b*cxxa)/(["abc"])+(c*bxxa)/(["abc"])`
`=1+1-1=1`
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