If '1' is the unit in real (1D) space, '1' and 'i' are the units in complex (2D) space, then surely one more unit ('j' ?) will be needed in 'whatchamaycallit' (3D) space ?
Also consider that if multiplication by 1 in real space is an identity operation (keeping things unchanged) and multiplication by i in complex space is a counterclockwise planar rotation by 90 degrees, what will multiplication by 'j' in 3D space mean ? Mind that now there are two addtional (basic) planes yz and zx to rotate in ?
2006-09-28
05:02:53
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5 answers
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Mathematics