PRIDE CHEKERARene Descartes reached his destiny of unifying algebra and
geometry. He believed that what we perceive is driven by two
aspects which are sensory and mathematical perceptions, and the
latter defines the objective truth of the realms nature with
certainties in contrast with the former governed by doubts. We
are all familiar with the Cartesian plane from secondary school,
the basis of graphical representations of mathematical functions.
Below is a Cartesian plane of two dimensions, showing a vector
and its components:
y-axis
퐴⃗⃗⃗⃗⃗푥^
퐴^ 퐴⃗⃗⃗⃗⃗푦^
0 x-axis
Vector 퐴^ in a Cartesian plane, with origin at (0;0) is defined by
components 퐴푥 and 퐴푦 and its magnitude as,