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In a three-dimensional coordinate system, `P ,Q ,a n dR` are images of a point `A(a ,b ,c)` in the `x-y ,y-za n dz-x` 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. `0` b. `a^2+b^2+c^2` c. `2/3(a^2+b^2+c^2)` d. none of these

A

`0`

B

`a^2+b^2+c^2`

C

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

D

None of these

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The correct Answer is:
(a)
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