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Let vec(r(1)),vec(r(2)),vec(r(3)),.........

Let `vec(r_(1)),vec(r_(2)),vec(r_(3)),........, vec(r_(n))` be the position vectors of points `P_(1), P_(2), P_(3),....., P_(n)` relative to the origin O. If the vector equation `a_(1)vec(r_(1))+a_(2)vec(r_(2))+....+a_(n)vec(r_(n))=0` holds, then a similar equation will also hold w.r.t. to any other origin provided

A

`a_(1)+a_(2)+....+a_(n)=n`

B

`a_(1)+a_(2)+....+a_(n)=1`

C

`a_(1)+a_(2)+...+a_(n)=0`

D

`a_(1)=a_(2)=a_(3)=......=a_(n)=0`

Text Solution

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The correct Answer is:
C
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