calculating the difference of two vectors

Calculus vector_difference

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Function : vector_difference

Summary :

The vector_difference function is used to calculate the difference of two vectors online.

Vector_difference online

Description :

The vector calculator allows to determine the difference of two vectors of the plane or space.

  1. Calculate the difference of two vectors of the plan
  2. Let (O,`vec(i)`,`vec(j)`) a frame of the plan, `vec(u)` and `vec(v)` two vectors that have the respective coordinates (`x_u`,`y_(u)`) and (`x_(v)`,`y_(v)`) in the frame (O,`vec(i)`,`vec(j)`) .

    The vector `vec(u)-vec(v)` has coordinates (`x_(u)`-`x_(v)`,`y_(u)`-`y_(v)`) in the system (`vec(i)`,`vec(j)`).

    The vector calculator is able to subtract vectors that have numeric or literal coordinates.

    Let `vec(u)`(1;2) `vec(v)`(3;5) to calculate the difference `vec(u)`-`vec(v)`, enter vector_difference([1;2];[3;5]) , after calculation the vector [-2;-3] is returned.

    Let `vec(u)`(a;b) `vec(v)`(2*a;`b`) to calculate the difference `vec(u)`-`vec(v)`, enter vector_difference([a;b];[2*a;b])

  3. Calculate the difference of two vectors in space
  4. Let (O,`vec(i)`,`vec(j)`,`vec(k)`) a space frame, `vec(u)` and `vec(v)` two vectors that have the respective coordinates (`x_u`,`y_(u)`,`z_(u)`) and (`x_(v)`,`y_(v)`,`z_(v)`) in the frame (O,`vec(i)`,`vec(j)`,`vec(k)`) .

    The vector `vec(u)-vec(v)` has coordinates (`x_(u)`-`x_(v)`,`y_(u)`-`y_(v)`,`z_(u)`-`z_(v)`) in the system (`vec(i)`,`vec(j)`,`vec(k)`).

    The vector calculator is able to subtract vectors that have numeric or literal coordinates.

    Let `vec(u)`(1;2;1) `vec(v)`(3;5;2) to calculate the difference `vec(u)`-`vec(v)`, enter vector_difference([3;5;2];[1;2;1]) after calculation the result [2;3;1] is returned.

    Let `vec(u)`(a;b,c) `vec(v)`(2*a;2-b,c+1) to calculate the difference `vec(u)`-`vec(v)`, enter vector_difference([a;b;c];[3*a;2;2*c+1]) , after calculation, the result is returned.

  5. Calculate the difference of two vectors in a space of any dimension
  6. The vector calculator is used according to the same principle for any dimension of spaces.


The vector_difference function is used to calculate the difference of two vectors online.


Syntax :

vector_difference(vector;vector)


Examples :

vector_difference([1;1;1];[5;5;6]) returns [-4;-4;-5]

Calculate online with vector_difference (calculating the difference of two vectors)
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