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

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

Calculate the sum of two vectors of the plan

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]`)

Calculate the sum of two vectors in space

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.

Calculate the sum of two vectors in a space of any dimension

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

Syntax :

vector_sum(vector;vector)

Examples :

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