query: Why do vectors exist?
positive_passages.docid: 21640
positive_passages.text: Why do we need vectors and who invented it?
negative_passages.docid: 47598
negative_passages.text: Motivation behind the definition of tangent vectors
negative_passages.docid: 6898
negative_passages.text: Is the vector cross product only defined for 3D?
negative_passages.docid: 115275
negative_passages.text: Vector field of charges
negative_passages.docid: 99257
negative_passages.text: Dot Product Intuition
negative_passages.docid: 115057
negative_passages.text: Relationship between complex number and vectors
negative_passages.docid: 135479
negative_passages.text: Two-dimensional Vectors Problem
negative_passages.docid: 55874
negative_passages.text: Row vector vs. Column vector
negative_passages.docid: 94878
negative_passages.text: Scheme: Changing the definition of complex numbers to accept vectors
negative_passages.docid: 151659
negative_passages.text: Why are there 4 Dimensions and 4 Fundamental Forces?
negative_passages.docid: 92377
negative_passages.text: Why is $\mathbf{B}$ a pseudovector?
negative_passages.docid: 77989
negative_passages.text: What are the rules for complex-component vectors and why?
negative_passages.docid: 61718
negative_passages.text: Can a basis for a vector space be made up of matrices instead of vectors?
negative_passages.docid: 81628
negative_passages.text: Why do we call a vector space in terms of vector space over some field?
negative_passages.docid: 142531
negative_passages.text: If angular velocity & angular acceleration are vectors, why not angular displacement?
negative_passages.docid: 123408
negative_passages.text: Why a subspace of a vector space is useful
negative_passages.docid: 43282
negative_passages.text: Why do $n$ linearly independent vectors span $\mathbb{R}^{n}$?