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Q.) Let r1, r2, r3, ..., rn be the position vectors of points P1, P2, P3, ..., Pn relative to the origin O. If the vector equation a1r1 + a2r2 + ... + anrn = 0 holds, then a similar equation will also hold w.r.t. to any other origin provided
[A]
a1 + a2 + ... + an = n
[B]
a1 + a2 + ... + an = 1
[C]
a1 + a2 + ... + an = 0
[D]
a1 = a2 = a3 = ... = an = 0
[A] a1 + a2 + ... + an = n
[B] a1 + a2 + ... + an = 1
[C] a1 + a2 + ... + an = 0
[D] a1 = a2 = a3 = ... = an = 0
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