Calculating the sum of two vectors : How to use it?
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]
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.- Vector calculator : vector_calculator. The vector calculator allows to do calculations with vectors using coordinates.
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