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X is the symbol for multiplication, as in 2X2=4 X (or any other letter) is often used to represent an unknown quantity.
It is called a variable.
No, infinity is not a digit. It is a concept used in mathematics to represent a quantity that is larger than any number. In the decimal system, digits are the symbols used to represent numbers (0-9).
A vector is a quantity with magnitude and direction. Since force has magnitude and direction, it is a vector
Nothing specifically is "done" to the variable; variables are generally used to represent either:* A quantity that is initially unknown (and should be solved for), or * A quantity that can be anything - to analyze what happens no matter what a certain value is.