# Column vectors

We know a vector can be represented by a line which has magnitude (how long it is) and direction.

In graphical vectors, this is represented by:

or as a column vector `((3),(4))`

That is

**NOTE:**

(Do not get confused between coordinates (3,4) which is the position of a point `x` along and `y` up from zero).

In column vectors, the numbers represent a distance and direction from any point.

In column vectors `x` is on the top and `y` is on the bottom. For coordinates we have:

Coordinates are written alphabetically

so X comes before Y (X,Y).

But in column vectors so does `x` come before `y`.

**Example 1**

Convert the vector `vec (AB)` to a column vector.

Vector `vec (AB)=((3),(2))`

# Column vectors

We know a vector can be represented by a line which has magnitude (how long it is) and direction.

In graphical vectors, this is represented by:

or as a column vector `((3),(4))`

That is

**NOTE:**

(Do not get confused between coordinates (3,4) which is the position of a point `x` along and `y` up from zero).

In column vectors, the numbers represent a distance and direction from any point.

In column vectors `x` is on the top and `y` is on the bottom. For coordinates we have:

Coordinates are written alphabetically

so X comes before Y (X,Y).

But in column vectors so does `x` come before `y`.

**Example 1**

Convert the vector `vec (AB)` to a column vector.

Vector `vec (AB)=((3),(2))`