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

Cross_product online

- Definition of the cross product
- Cross product properties
- 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.
- Calculating the cross product online

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)`.

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.

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

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

This example shows how to use the cross product calculator :

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

Calculate online with cross_product (cross product)
See also :

- Cross product : cross_product. The vector calculator allows the calculation of the cross product of two vectors online.
- Calculate dot product : dot_product. The dot product calculator allows the calculation of the dot product of two vectors online.
- 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.
- Calculus scalar triple product : scalar_triple_product. The scalar_triple_product function allows online calculation of scalar triple product.
- 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.
- 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.
- Calculating the sum of two vectors : vector_sum. The vector calculator allows the calculation of the sum of two vectors online.