The vector calculator allows the calculation of the norm of a vector online.

The vector calculator allows to determine the **norm of a vector from the coordinates**.
Calculations are made in exact form , they may involve numbers but also letters .
The **norm of a vector** is also called the **length of a vector**.

- Calculate the norm of a vector in the plane
- Calculating the norm of a vector in space
- Calculating the norm of a vector in a space of any dimension The vector calculator is used according to the same principle for calculating the norm of a vector in a space of any dimension.

Let (O,`vec(i)`,`vec(j)`) an orthonormal frame of the plan, the vector `vec(u)` has coordinates (x,y) in the basis (`vec(i)`,`vec(j)`), the norm of `vec(u)` is equal to `sqrt(x^2+y^2)`

The vector calculator is able to **calculate the norm of a vector** knows its coordinates which are numeric or symbolic.

Let `vec(u)`(1;1) to calculate the norm of vector `vec(u)`, enter vector_norm(`[1;1]`) , after calculating the norm is returned , it is equal `sqrt(2)`.

Let `vec(u)`(a;2) to calculate the norm of vector `vec(u)`, type vector_norm(`[a;2]`) , after calculating, the result `sqrt(a^2+4)` is returned.

Let (O,`vec(i)`,`vec(j)`,`vec(k)`) an orthonormal frame of the space, the vector `vec(u)` has coordinates (x,y,z) in the basis (`vec(i)`,`vec(j)`,`vec(k)`), the norm of `vec(u)` is equal to `sqrt(x^2+y^2+z^2)`.

The vector calculator allows to **calculate the norm of a vector** knows its coordinates which are numeric or litteral.

Let `vec(u)`(1;1;1) to calculate the norm of vector `vec(u)`, enter vector_norm(`[1;1;1]`) , after calculating the norm is returned , it is equal `sqrt(3)`.

Let `vec(u)`(a;2;1) to calculate the norm of vector `vec(u)`, enter vector_norm(`[a;2;1]`) , after calculating the result `sqrt(5+a^2)` is returned.

vector_norm(vector)

vector_norm(`[1;1]`), returns `sqrt(2)`

See also

- Vector calculator : vector_calculator. The vector calculator allows to do calculations with vectors using coordinates.
- Calculating the coordinates of a vector from two points. : vector_coordinates. The vector calculator allows the calculation of the coordinates of a vector from the coordinates of two points online.
- Determinant calculator : determinant. The determinant function calculates online the determinant of vectors or the determinant of a matrix.
- Calculating the difference of two vectors : vector_difference. The vector_difference function is used to calculate the difference of two vectors online.
- Calculating the norm of a vector : vector_norm. The vector calculator allows the calculation of the norm of a vector online.
- Calculus scalar triple product : scalar_triple_product. The scalar triple product calculator allows online calculation of scalar triple product.
- Dot product calculator : dot_product. The dot product calculator allows the calculation of the dot product of two vectors online from their coordinates.
- Product of a vector by a number : product_vector_number. The vector calculator allows to calculate the product of a vector by a number online.
- Cross product calculator : cross_product. The vector calculator allows the calculation of the cross product of two vectors online from their coordinates.
- Calculating the sum of two vectors : vector_sum. The vector calculator allows the calculation of the sum of two vectors online.