1.

If a, b, c are the position vectors of the vertices A, B, C of the triangle ABC, then the centroid of \[\Delta \,ABC\] is [MP PET 1987]

A. \[\frac{\mathbf{a}+\mathbf{b}+\mathbf{c}}{3}\]
B. \[\frac{1}{2}\,\left( \mathbf{a}+\frac{\mathbf{b}+\mathbf{c}}{2} \right)\]
C. \[\mathbf{a}+\frac{\mathbf{b}+\mathbf{c}}{2}\]         
D. \[\frac{\mathbf{a}+\mathbf{b}+\mathbf{c}}{2}\]
Answer» B. \[\frac{1}{2}\,\left( \mathbf{a}+\frac{\mathbf{b}+\mathbf{c}}{2} \right)\]


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