Three monatomic ideal gas particles have the following velocities (written in component form) in a coordinate system:

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Three monatomic ideal gas particles have the following velocities (written in component form) in a coordinate system: \((3.0,4.0) \mathrm{m} / \mathrm{s},(-6.0,8.0) \mathrm{m} / \mathrm{s},(-5.0,-7.0) \mathrm{m} / \mathrm{s}\). Calculate the 

(a) average speed 

(b) root-mean-square speed of the particle?

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