Arrange three displacement vectors, of magnitudes (2 mathrm{~m}), (5 mathrm{~m}), and (7 mathrm{~m}), so that their sum

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Arrange three displacement vectors, of magnitudes \(2 \mathrm{~m}\), \(5 \mathrm{~m}\), and \(7 \mathrm{~m}\), so that their sum is \((a)(+10 \mathrm{~m}) \hat{\imath}\), (b) \((-4 \mathrm{~m}) \hat{i}\), and (c) 0.

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