problem, the symbols M, L, and T represent the dimensions mass, length, and time, respectively. Consider the physical quantities V, ρ, and t with dimensions [V] = L3, [ρ] = ML-3, and [t] = T. (Here, the square bracket means “the dimensions of” so, for example, [V] represents the dimensions of the quantity V.)What are the dimensions of ∫ρdV? What are the dimensions of dV/dt?   What are the dimensions of ρ(dV/dt)?

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Chapter2: Vectors
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Problem 59P: At one point in space, the direction of the electric field vector Is given In the Cartesian system...
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 In this problem, the symbols M, L, and T represent the dimensions mass, length, and time, respectively. Consider the physical quantities Vρ, and t with dimensions [V] = L3, [ρ] = ML-3, and [t] = T. (Here, the square bracket means “the dimensions of” so, for example, [V] represents the dimensions of the quantity V.)What are the dimensions of ∫ρdV? What are the dimensions of dV/dt
 What are the dimensions of ρ(dV/dt)? 

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Dimension of a quantity and its change has same value. 

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