Quaternion Function Reference

unit

Unit quaternion or octonion

Syntax

Y = unit(X)

Description

unit(X) divides each element of its argument by its modulus to return quaternions with unit modulus.

Examples

>> unit(quaternion(1,2,3,4))
 
ans = 0.1826 + 0.3651 * I + 0.5477 * J + 0.7303 * K
A unit pure quaternion is a root of -1, whether the quaternion is real or complex:
>> q = unit(randv)
 
q = 0.6552 * I - 0.2884 * J + 0.6983 * K
 
>> q.^2
 
ans = -1 + 0 * I + 0 * J + 0 * K

>> q = unit(complex(randv, randv))
 
q = (0.9195+0.0758i) * I + (0.00383+0.2233i) * J + (0.4813-0.1466i) * K
 
>> q.^2
 
ans = (-1+8.327e-17i) + (0) * I + (0) * J + (0) * K

See Also

QTFM function: sign

© 2008-2013 Stephen J. Sangwine and Nicolas Le Bihan

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