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Prove that : |veca + vecb|le|veca|+|vecb|. |
Answer» Solution : Let ABC be the triangle where `vec(AB) = VECA. vec(BC) = vecb` Then `vec(AC) = veca=vecb` Now `|veca| = AB, |vecb| = BC` and `|veca+vecb| = AC` In the triangle ABC, `AC Now AC = AB+BC when A,B,C LIE on a straight line A,B,C are collinear. Hence `|veca+vecb| = |veca|+|vecb|` When `veca` and `vecb` are like collinear vectors or ZERO vectors. |
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