Final answer:
The statement asking if mathematical operations can be performed on C++ structure members is true. Like regular variables, structure members can also undergo mathematical operations if their data types support it, analogous to vector operations in physics.
Step-by-step explanation:
The statement 'Any mathematical operations that can be performed on regular C++ variables can be performed on structure members' is true. In C++, structures or structs are used to group different types of variables under a single name for easier and more organized handling. Struct members can be of various data types, including int, float, and double. Thus, you can perform standard mathematical operations on these members if their data types support these operations. For example, you can add two struct members if they hold numeric values.
Let's consider an analogy to further clarify this concept: Vector operations in physics. A vector can indeed form the shape of a right-angle triangle with its x and y components. Similarly, you can use the Pythagorean theorem to calculate the length of the resultant vector when you have two orthogonal vectors. This parallels how you can carry out mathematical manipulations on structure members.
In mathematics, the property that A+B=B+A is known as the commutative property of addition which applies to the addition of ordinary numbers. Likewise, if you have two numeric struct members, you could apply the same property to them as well, just as you would to primitive variables.