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Homework Statement 1. Proof that the vectors \vec{t}(t) = cos(ω(t)), sin(ω(t)) and \vec{n}(t) = -sin(ω(t)), cos(ω(t)) are linearly independent 2. Proof that ω = ω\in\mathbb R 3. Can all angular velocities indicate a possible circular orbit? If so, proof it, if not which angular velocities...