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(Solved): 1. Use index notation to prove the following, where V is fluid velocity vector: (V)V=(2V2 ...



1. Use index notation to prove the following, where \( \vec{V} \) is fluid velocity vector: \[ (\vec{V} \cdot \nabla) \vec{V}
1. Use index notation to prove the following, where is fluid velocity vector:


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In index notation, the dot product of two vectors is represented as the sum of the products of their components. So,
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