crossprd#

Purpose#

Computes the cross-products (vector products) of sets of 3x1 vectors.

Format#

z = crossprd(x, y)#

Parameters:

x (3xK matrix) – each column is treated as a 3x1 vector.
y (3xK matrix) – each column is treated as a 3x1 vector.

Returns:

z (3xK matrix) – each column is the cross-product (sometimes called vector product) of the corresponding columns of x and y.

Examples#

// First matrix
x = { 10  4,
      11 13,
     14 13 };

// Second matrix
y = { 3 11,
      5 12,
      7  9 };

z = crossprd(x, y);

After the above code,

      7  -39
z = -28  107
     17  -95

Remarks#

The cross-product vector z is orthogonal to both x and y. sumc(x .* z) and sumc(y .* z) will be Kx1 vectors, all of whose elements are 0 (except for rounding error).

Source#

crossprd.src