Three distinct points \( \mathrm{P}\left(3 \mathrm{u}^{2}, 2 \mathrm{u}^{3}\right) ; \mathrm{Q}\...

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Three distinct points \( \mathrm{P}\left(3 \mathrm{u}^{2}, 2 \mathrm{u}^{3}\right) ; \mathrm{Q}\left(3 \mathrm{v}^{2}, 2 \mathrm{v}^{3}\right) \) and \( \mathrm{R}\left(3 \mathrm{w}^{2}, 2 \mathrm{w}^{3}\right) \) are collinear then
(1) \( u v+v w+w u=0 \)
(2) \( u v+v w+w u=3 \)
(3) \( u v+v w+w u=2 \)
(4) \( u v+w w+w u=1 \)
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