This document discusses the relationship between linear algebraic expressions and vectors. A linear algebraic expression consists of two or more linear algebraic terms combined using addition, subtraction, or both. An example problem involves a triangle PQR with midpoint S, where PS = 4a and PR = 3b. Students are asked to write vectors in terms of a and b, showing how linear algebraic expressions are used to represent vectors. The document notes that many vector problems involve algebraic expressions, demonstrating the connection between linear equations and vectors.