What is a dimension?
Q: What is a dimension?
A: A dimension is a way to measure, see and experience the world by using concepts such as up and down, right to left, back to front, hot and cold, how heavy and how long. It can also be defined as the degrees of freedom or the way an object can move in a specific space.
Q: How do mathematicians define Euclidean space?
A: Mathematicians define Euclidean space as being specified by three dimensions which are usually called length, width and depth.
Q: What is the number of vectors in a vector space?
A: The number of vectors in a vector space is equal to the cardinality (or number of vectors) of its basis set.
Q: How many dimensions are used to measure position?
A: Three dimensions (length, width and height) are used to measure position. In some occasions, a fourth (4D) dimension - time - may be used to show the position of an event in time and space.
Q: What does dim(V) mean?
A: Dim(V) refers to the dimension of V which is equal to the cardinality (or number of vectors) of its basis set or equal to the number of straight line directions that it has.
Q: Is there one definition that satisfies all concepts related with dimensions?
A: No, there is no single definition that can satisfy all concepts related with dimensions.
