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Bivector (complex)


In mathematics, a bivector is the vector part of a biquaternion. For biquaternion q = w + xi + yj + zk, w is called the biscalar and xi + yj + zk is its bivector part. The coordinates w, x, y, z are complex numbers with imaginary unit h:

A bivector may be written as the sum of real and imaginary parts:

where and are vectors. Thus the bivector


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