Question

what is the meaning of vector in real numbers

Answer 1

A vector of dimension n is an ordered collection of an elements, which are called components.
Vector Spaces A vector space (over the real numbers) is a set V of mathematical entities, called vectors, U, V, W, etc., in which an addition operation “+” is defined and in which multiplication of vectors by scalars i.e., real numbers.
We often represent a vector by some letter, just as we use a letter to denote a scalar (real number) in algebra.
A scalar  is another name for "real number.".

Answer 2

  it ia quantity having direction as well as magnitude, when determining the position of one point in space relative to another