Documentation Center

  • Trial Software
  • Product Updates

quatmultiply

Calculate product of two quaternions

Syntax

n = quatmultiply(q,r)

Description

n = quatmultiply(q,r) calculates the quaternion product, n, for two given quaternions, q and r. Inputs q and r can each be either an m-by-4 matrix containing m quaternions, or a single 1-by-4 quaternion. n returns an m-by-4 matrix of quaternion products. Each element of q and r must be a real number. Additionally, q and r have their scalar number as the first column.

The quaternions have the form of

and

The quaternion product has the form of

where

    Note   Quaternion multiplication is not commutative.

Examples

Determine the product of two 1-by-4 quaternions:

q = [1 0 1 0];
r = [1 0.5 0.5 0.75];
mult = quatmultiply(q, r)


mult =

    0.5000    1.2500    1.5000    0.2500

Determine the product of a 1-by-4 quaternion with itself:

q = [1 0 1 0];
mult = quatmultiply(q)


mult =

     0     0     2     0

Determine the product of 1-by-4 and 2-by-4 quaternions:

q = [1 0 1 0];
r = [1 0.5 0.5 0.75; 2 1 0.1 0.1];
mult = quatmultiply(q, r)


mult =

    0.5000    1.2500    1.5000    0.2500
    1.9000    1.1000    2.1000   -0.9000

See Also

| | | | | |

Was this topic helpful?