Vector Algebra Question 230

Question: 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]

Options:

A) $ \frac{\mathbf{a}+\mathbf{b}+\mathbf{c}}{3} $

B) $ \frac{1}{2},( \mathbf{a}+\frac{\mathbf{b}+\mathbf{c}}{2} ) $

C) $ \mathbf{a}+\frac{\mathbf{b}+\mathbf{c}}{2} $

D) $ \frac{\mathbf{a}+\mathbf{b}+\mathbf{c}}{2} $

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Answer:

Correct Answer: A

Solution:

  • It is obvious.