Question

Why vectors are written in columns not in rows?
for example:
ax+by=e . cx+dy=f.
so the vector
a.........b
c.........d
why calling a and c the component of the vector??

Answer 1

@wio

Answer 2

A vector has two directions, think of slopes.

Answer 3

You have your rise, and your run, they can be seen as components in a way

Answer 4

It's due to how matrix multiplication works.