Assertion (A): Two particles start moving with velocities \(vec{v}_1\) and \(vec{v}_2\) respectively in a plane. They can meet only if component of their velocities perpendicular to line joining them are equal.
Reason (R): Relative velocity of a body w.r.t. other body is calculated along the line joining two bodies.
Solution:
Assertion (A): For particles to meet, their relative perpendicular velocity component must be zero, meaning their perpendicular velocities must be equal. Otherwise, they would move apart perpendicular to the line joining them. So (A) is true.
Reason (R): Relative velocity is a vector difference and can be calculated in any direction, not exclusively along the line joining two bodies. So (R) is false.
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