The idea of components freed us from the confines of one-dimensional
physics, but the component notation can be unwieldy, since every one-
dimensional equation has to be written as a set of three separate equations
in the three-dimensional case. Newton was stuck with the component
notation until the day he died, but eventually someone sufficiently lazy and
clever figured out a way of abbreviating three equations as one.
Vectors are used in aerial navigation.
Section 7.1Vector Notation