A vector is any element of a vector space.
1
That’s correct. In mathematics, a vector is typically defined as an element of a vector space, which is a set of objects called vectors that can be added together and multiplied (scaled) by numbers, known as scalars.
Vectors commonly appear in a variety of mathematical contexts, such as in geometry, physics, and computer graphics, where they can be used to represent quantities such as position, velocity, force, and acceleration. In these contexts, vectors are often denoted by boldface letters or with an arrow over the symbol, to help distinguish them from other types of mathematical objects.
More Answers:
Is The Set Of Positive Real Numbers A Vector Space? An In-Depth AnalysisThe Relationship Between Nonzero Vectors And Scalars In Math: Proving K=0 When Ku=0 And U Is Nonzero
Vector Spaces: Debunking The Myth That They Must Contain Multiple Vectors
Error 403 The request cannot be completed because you have exceeded your quota. : quotaExceeded