calculating the sum of two vectors

Calculus vector_sum

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Function : vector_sum

Summary :

The vector calculator allows the calculation of the sum of two vectors online.

Vector_sum online

Description :

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

  1. Calculate the sum 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+v)` has coordinates (`x_(u)`+`x_(v)`,`y_(u)`+`y_(v)`) in the system (`vec(i)`,`vec(j)`).

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

    Lets `vec(u)`(1;2) `vec(v)`(3;5) to calculate the sum `vec(u)`+`vec(v)`, enter vector_sum([1;2];[3;5]) , after calculation the vector [4;7] is returned.

    Lets `vec(u)`(a;b) `vec(v)`(2*a;`b`) to calculate the sum `vec(u)`+`vec(v)`, enter vector_sum([a;b];[2*a;b])

  3. Calculate the sum 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+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 add vectors that have numeric or literal coordinates.

    Lets `vec(u)`(1;2;1) `vec(v)`(3;5;2) to calculate the sum `vec(u)`+`vec(v)`, enter vector_sum([1;2;1];[3;5;2]) after calculation, the result [4;7;3] is returned.

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

  5. Calculate the sum 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 calculator allows the calculation of the sum of two vectors online.


Syntax :

vector_sum(vector;vector)


Examples :

vector_sum([1;1;1];[5;5;6]), returns [6;6;7]

Calculate online with vector_sum (calculating the sum of two vectors)
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