Problem 1

Now that you have heard the introduction to what transport phenomena is, What are some
applications of momentum, mass, or energy transfer that you have encountered in daily life?
List and explain 2 examples that were not mentioned in class.

Problem 2

We consider vectors to be expressed using unit vectors in indicial notation.
The unit vectors represent the orthogonal triad in Cartesian, cylindrical, or sphreical
coordinates. Thurs the representation of the vectoris given by:

where are the vector components and the fact that  is repeated indicates a summation from one to three. In addition, we have the following identities for the permutation symbol in which
the summation convention is again observed:

Using the decomposition of vectors into unit vectors, and the properties , prove
the following vector identities:

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