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In a three-dimensional coordinate syst...

In a three-dimensional coordinate system, P ,Q ,and R are images of a point `A(a ,b ,c)` in the `xy ,yz and zx` planes, respectively. If `G` is the centroid of triangle `P Q R ,` then area of triangle `A O G` is (`O` is the origin)

A

(a) 0

B

(b) `a^2+b^2+c^2`

C

(c) `(2)/(3)(a^2+b^2+c^2)`

D

(d) None of these

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The correct Answer is:
(a)
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