"Degrees" of Electromagnetism~

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MASSACHUSETTS INSTITUTE OF TECHNOLOGYPhysics DepartmentPhysics 8.07: Electromagnetism II September 5, 2012Prof. Alan GuthLECTURE NOTES 1VECTOR ANALYSISDEFINITION: A vector is a quantity that has magnitude and direction.Examples: displacement, velocity, acceleration, force, momentum, electric and magneticfields.Vectors do not have position:OPERATIONS:Magnitude: IAAI ≡ magnitude of AA. (Here ≡ means “is defined to be”.) Often A isused to denote IAAI.Negation:Addition:Subtraction: AA − BA A ≡ AA + (−B).Multiplication by a scalar:Property— Distributive: a(AA + BA ) = a B. AA + a A