This example shows how to use the cross product calculator :

cross_product(`[1;1;1];[5;5;6]`), returns [1;-1;0]

The vector calculator allows the calculation of the cross product of two vectors online from their coordinates.

The **cross product calculator** is able to perform calculations by specifying the **calculation steps**, the vectors can have coordinates also
well numeric than literal.

In an orthonormal coordinate system (O,`vec(i)`,`vec(j)`,`vec(k)`), the **cross product**
of vectors `vec(u)(x,y,z)` and `vec(v)(x',y',z')` has coordinates `(yz'-zy',zx'-xz',xy'-yx')`, it notes `vec(u)^^vec(v)`.

- if `vec(u)` and `vec(v)` are collinear then `vec(u)^^vec(v)`=0
- `vec(u)^^vec(v)` is orthogonal to `vec(u)` and `vec(v)`. `vec(u)`,`vec(v)`,`vec(u)^^vec(v)` form a direct orthogonal reference.

The **calculation of the cross product** of two vectors online is done very quickly, with the **cross product calculator**,
just enter the coordinates of the two vectors and then click the button that allows to perform the calculation of the vector product.
To **calculate the cross product** of the following vectors `vec(u)` [1;1;1] et `vec(v)` [5;5;6] ,
enter the expression
cross_product(`[1;1;1];[5;5;6]`) after calculation the résults [1;-1;0] is returned.

cross_product(vector;vector)

This example shows how to use the cross product calculator :

cross_product(`[1;1;1];[5;5;6]`), returns [1;-1;0]

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.