Another way to think of a vector is a magnitude and a direction, e.g. a quantity like velocity (“the fighter jet’s velocity is 250 mph north-by-northwest”). In this way of think of it, a vector is a directed arrow …

A vector V in the plane or in space is an arrow: it is determined by its length, denoted V and its direction. Two arrows represent the same vector if they have the same length and are parallel (see figure …

We shall begin our discussion by defining what we mean by a vector in three dimensional space, and the rules for the operations of vector addition and multiplication of a vector by a scalar.

To make expressions involving several variables easier to deal with, we use vectors, which are ordered lists of numbers or variables. We say that the number of entries in the vector is its dimension, and if a …

1.2 Vectors A vector is a quantity that has both magnitude (i.e. length) and direction. An "arrow" in space.

The triple product of three vectors is a combination of a vector product and a scalar product, where the first one has to be calculated first because otherwise we would have to take the vector product of a …

This work represents our effort to present the basic concepts of vector and tensor analysis. Volume I begins with a brief discussion of algebraic structures followed by a rather detailed discussion of the …