| MULTIVECTOR OPERATIONS (a.k.a. GEOMETRIC
ALGEBRA OR CLIFFORD ALGEBRA OPERATIONS). PLEASE SEE New Foundations of Mechanics
, D. Hestenes, ONLINE CITATIONS BELOW, AND "CLIFFORD" WEBSITES. |
OUTER PRODUCT:
[a1,a2]  [b1,b2]=(a1
b2 - b1a2)(-1)1/2: A MULTIPLE OF
"IMAGINARY UNIT VECTOR", ACTUALLY, A BIVECTOR (SUBPLANE OF COMPLEX PLANE):
OUTERPROD OF 2 DIRECTED SEGMENTS IS A (counterclockwise) DIRECTED PLANE SECTOR:
OUTERPROD OF 2 VECTORS EQUALS ANTISYMMETRIC OF SCALAR PRODUCT TIMES UNIT BIVECTOR.
MULTIPRODUCT EQUALS SUM OF INNER AND OUTER PRODUCTS, A "COMPLEX NUMBER": THE SIMPLEST
FORM OF SPINOR (MATH BEHIND MRI BODY
AND BRAIN SCANNING). |
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