# calculating the sum of two vectors

Course reminders, calculators, exercises and games : Vectors

The vector calculator allows the calculation of the sum of two vectors online.
vector_sum([1;1;1];[5;5;6]), returns [6;6;7]

Course reminders, calculators, exercises and games : Vectors

### Vector sum, online calculus

#### 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.

# 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]

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