# 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.

# Calculate the difference 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)-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])

# Calculate the difference 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)-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.

# Calculate the difference of two vectors in a space of any dimension

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)