ABSTRACT
Euclidean space, R3. A vector field can be expressed in terms of a basis by
giving its components with respect to that basis, such as1
F = Fx xˆ+ Fy yˆ + Fz zˆ, (12.1)
where {xˆ, yˆ, zˆ} denotes the standard rectangular basis for R3, also written as {ıˆ, jˆ, kˆ}. See Chapter 16 for a more detailed treatment.