Vector cross product

cross

Vector cross product

Syntax

• C = cross(A,B)
  C = cross(A,B,dim)
  

Description

C = cross(A,B) returns the cross product of the vectors A and B. That is, C = A x B. A and B must be 3-element vectors. If A and B are multidimensional arrays, cross returns the cross product of A and B along the first dimension of length 3.

C = cross(A,B,dim) where A and B are multidimensional arrays, returns the cross product of A and B in dimension dim . A and B must have the same size, and both size(A,dim) and size(B,dim) must be 3.

Remarks

To perform a dot (scalar) product of two vectors of the same size, use c = dot(a,b).

Examples

The cross and dot products of two vectors are calculated as shown:

• a = [1 2 3];
  b = [4 5 6];
  c = cross(a,b)
  
  c =
        -3     6    -3
  
  d = dot(a,b)
  
  d =
        32