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.

  1. Calculate the coordinates of a vector from two points in the plane
  2. 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]).

  3. Calculate the coordinates of a vector from two points in space
  4. 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.

  5. Calculate the coordinates of a vector from 2 points in a system of any dimension
  6. 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.)
See also :