Let a, b and c be three non-coplanar vectors and let p, q and r be vectors defined by the relations p=\frac{b \timesc}{a b c}, q=\frac{c \timesa}{a b c} and r=\frac{a \timesb}{a b c} Then the value of the expression (a+b) .p+(b+c) .q+(c+a) .r is equal to

BITSAT 2007 Solved Question Paper

Section: Mathematics

Question : 41 of 150

Marks: +1, -0

Let a,b and c be three non-coplanar vectors and let p,q and r be vectors defined by the relations
p=

b×c

abc

,q=

c×a

abc

and r=

a×b

abc

Then the value of the expression (a+b).p+(b+c).q+(c+a).r is equal to

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