How to solve

$(1)$ The Bernoulli Equation for steady flow of a inviscid fluid $(35$ points$)$ In Example $3\mathrm{.}5-1$ on page $86$ of the textbook Transport Phenomena, the Bernoulli equation for steady flow of an inviscid fluid is derived. Read through the example. It is pointed out that forming the dot product of the vector $s$ with Eq$.3\mathrm{.}5-10$ causes the term involving the curl to vanish. Use summation notation to carefully show this statement is true. Cite any identities or relations you use.

$(1)$ The Bernoulli Equation for steady flow of a inviscid fluid $(35$ points$)$ In Example $3\mathrm{.}5-1$ on page $86$ of the textbook Transport Phenomena, the Bernoulli equation for steady flow of an inviscid fluid is derived. Read through the example. It is pointed out that forming the dot product of the vector $s$ with Eq$.3\mathrm{.}5-10$ causes the term involving the curl to vanish. Use summation notation to carefully show this statement is true. Cite any identities or relations you use.