Three particles start from origin at the same time with a velocity ...

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Three particles start from origin at the same time with a velocity \( 2 \mathrm{~ms}^{-1} \) along positive \( x \)-axis, the second with a velocity
\( \mathrm{P} \) \( 6 \mathrm{~ms}^{-1} \) along negative \( y \)-axis. Find the velocity of the third particle

W along \( x=y \) line so that the three particles may always lie in a straight line :
(A) \( -3 \sqrt{3} \mathrm{~m} / \mathrm{s} \)
(B) \( 3 \sqrt{2} \mathrm{~m} / \mathrm{s} \)
(C) \( -3 \sqrt{2} \mathrm{~m} / \mathrm{s} \)
(D) \( 2 \sqrt{2} \mathrm{~m} / \mathrm{s} \)
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