`vec(a), vec(b) , vec(c) ` are non-coplanar vectors and ` vec(p), vec(q), vec(r)` are defined as `vec(p) = (v

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Q 2260178015.     `vec(a), vec(b) , vec(c) ` are non-coplanar vectors and ` vec(p), vec(q), vec(r)` are defined as


`vec(p) = (vec(b) xx vec(c) )/([ vec(b)vec(c)vec(a)]) , vec(q) = (vec(c) xx vec(a))/([ vec(c)vec(a)vec(b)]), vec(r) = (vec(a) xx vec(b))/([ vec(a)vec(b)vec(c)])`

then `( vec(a) + vec(b) ) * vec(p) + ( vec(b) + vec(c) )*vec(q) + ( vec(c) + vec(a)) * vec(r)` is equal to

A

`0`

B

`1`

C

`2`

D

`3`

HINT


Solution
(Provided By a Student and Checked/Corrected by EXXAMM.com Team)

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