Two particles are projected simultaneously from the same point, with the same speed, in the same...

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Two particles are projected simultaneously from the same point, with the same speed, in the same vertical plane,
P and at different angles with the horizontal in a uniform gravitational field acting vertically downwards. A frame of W reference is fixed to one particle. The position vector of the other particle, as observed from this frame, is \( \vec{r} \). Which of the following statements is correct?
(1) \( \vec{r} \) is a constant vector.
(2) \( \vec{r} \) changes in magnitude as well as direction with time.
(3) The magnitude of \( \vec{r} \) increases linearly with time; its direction does not change.
(4) The direction of \( \vec{r} \) changes with time; its magnitude may or may not change, depending on the angles of projection.
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