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What scalar or vector point function

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 A scalar function is a function that assigns a real number (i.e. a scalar) to a set of real variables. Its general form is 
\[ \mathrm{u}=\mathrm{f}\left(\mathrm{x}_{1}, \mathrm{x}_{2}, \ldots, \mathrm{x}_{\mathrm{n}}\right) \] \\ \\ where \ $x_{1}, x_{2}, \ldots, x_{n}$ \ are \ real\ numbers.

 

A vector function is a function that assigns a vector to a set of real variables. Its general form is  

\mathbf{U}=\mathrm{f}_{1}\left(\mathrm{x}_{1}, \mathrm{x}_{2}, \ldots, \mathrm{x}_{\mathrm{n}}\right) \mathbf{i}+\mathrm{f}_{2}\left(\mathrm{x}_{1}, \mathrm{x}_{2}, \ldots, \mathrm{x}_{\mathrm{n}}\right) \mathbf{j}+\mathrm{f}_{3}\left(\mathrm{x}_{1}, \mathrm{x}_{2}, \ldots, \mathrm{x}_{\mathrm{n}}\right) \mathbf{k}

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Deependra Verma

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