A vector function is a mathematical function that takes in a vector as an input and outputs another vector. It is represented by a vector-valued equation and can be visualized as a curve or surface in multi-dimensional space.
A vector function can be defined in matlab using the "syms" command to create symbolic variables, and then using the "vectorize" function to convert a symbolic expression into a vector function. Alternatively, the "inline" function can also be used to define a vector function.
A scalar function takes in a single value as an input and outputs another single value, while a vector function takes in a vector as an input and outputs another vector. Scalar functions can be represented by a single variable equation, while vector functions require multiple equations for each component of the vector.
To plot a vector function in matlab, first define the function using either the "syms" or "inline" function. Then use the "ezplot" function to plot the vector function in a 2-dimensional space, or the "ezsurf" function to plot the function in a 3-dimensional space.
Yes, matlab allows for operations to be performed on vector functions. The "syms" and "vectorize" functions can be used to define and manipulate vector functions, and the "ezplot" and "ezsurf" functions can be used to plot the resulting functions. Additionally, other mathematical and numerical operations can also be performed on vector functions in matlab.