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Let vec a , vec ba n d vec c be three n...

Let ` vec a , vec ba n d vec c` be three non-coplanar vectors and ` vec p , vec qa n d vec r` the vectors defined by the relation ` vec p=( vec bxx vec c)/([ vec a vec b vec c]), vec q=( vec cxx vec a)/([ vec a vec b vec c])a n d vec r=( vec axx vec b)/([ vec a vec b vec c])dot` Then the value of the expression `( vec a+ vec b)dot vec p+( vec b+ vec c)dot vec q+( vec c+ vec a)dot vec r` is `0` b. `1` c. `2` d. `3`

A

0

B

1

C

2

D

3

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D
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