In linear algebra, a vector is written in a number of different ways: as a variable with an arrow over top, as column vector, or as one of many other notations. Typically, a vector appears in text like this:
In plain language, this represents the vector that is of degree .
When writing a vector as a variable, often an arrow is drawn over top and the variable is displayed in a non-italics and bold font.
The advantage of using this notation is, when referring to the components that make up a vector, you can differentiate the components from the vector itself.
In this case, it’s clear that is the first component of the vector and is the vector itself.
In math, the magnitude of a vector typically appears with two vertical bars on either side.
In linear algebra, the cross product of two vectors is written using the times symbol (×).
The syntax for a dot product is a dot between the two vectors.
In linear algebra, a matrix is denoted as a grid of expressions with two brackets on either side. The variable m corresponds to the number of rows, and the variable n corresponds to the number of columns.