# calculating the coordinates of a vector from two points.

## Calculus vector_coordinates

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### Function : vector_coordinates

#### Summary :

The vector calculator allows the calculation of the coordinates of a vector from the coordinates of two points online.

Vector_coordinates online

#### Description :

The vector calculator allows to determine the coordinates of a vector from two points, it applies to points in the plane and space. The vector calculator returns the calculation steps.

# Calculate the coordinates of a vector from two points in the plane

Let (O, vec (i), vec (j)) a system, A and B two points which are respective coordinates (x_a,y_(a)) and (x_(b),y_(b)) in the system (O,vec(i),vec(j)) .

The coordinates of the vector vec(AB) are (x_(b)-x_(a),y_(b)-y_(a)) in the system (O,vec(i),vec(j)).

The vector calculator is able to calculate numeric coordinates or symbolic coordinates.

Let A(1;2) B(3;5) to calculate the coordinates of the vector vec(AB), enter vector_coordinates([1;2];[3;5]).

Let A(a;b) B(2*a;b/2) to calculate the coordinates of the vector vec(AB), enter vector_coordinates([a;b];[2*a;b/2]).

# Calculate the coordinates of a vector from two points in space

Let (O,vec(i),vec(j),vec(k)) a system, A and B two points which are respective coordinates (x_a,y_(a),z_(a)) and (x_(b),y_(b),z_(a)) in the system (O,vec(i),vec(j),vec(k)) .

The coordinates of the vector vec(AB) are (x_(b)-x_(a),y_(b)-y_(a),z_(b)-z_(a)) in the system (O,vec(i),vec(j),vec(k)).

The vector calculator allows to calculate numeric coordinates or symbolic coordinates.

Let A(1;2;1) B(3;5;2) to calculate the coordinates of the vector vec(AB), enter vector_coordinates([1;2;1];[3;5;2]) , the results [2;3;1] is returned.

Let A(a;b,c) B(2*a;2-b,c+1) to calculate the coordinates of the vector vec(AB), enter vector_coordinates([a;b;c];[2*a;2-b;c+1]) , the result [a;2-2*b;1] is returned.

# Calculate the coordinates of a vector from 2 points in a system of any dimension

The vector calculator is used according to the same principle for any dimension of systems.

The vector calculator allows the calculation of the coordinates of a vector from the coordinates of two points online.

#### Syntax :

vector_coordinates(point;point)

#### Examples :

vector_coordinates([1;2;1];[5;5;6]) returns [4;3;5]

Calculate online with vector_coordinates (calculating the coordinates of a vector from two points.)