Answer:
A vector differs from a scalar in that the vector has a direction in a dimensional sense. Mathematically, the square of a vector is negative and the square of a scalar is positive.
Unfortunately Vectors used in physics are mathematically defective in that the square of J. Willard Gibbs Vectors is positive and non-associative as a result. Willaim Rowana Hamilton invented vectors and his rule is i^2=j^2=k^2=ijk=-1. Tghis is the porper distinction of vectors.
it has direction---apex