## Principles of Electricity and Electromagnetism |

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Page 587

points . It should be mentioned that all quantities capable of representation by an

arrow are not

**vector**, and the direction associated with the**vector**is that in which the arrowpoints . It should be mentioned that all quantities capable of representation by an

arrow are not

**vectors**in the sense in which the term is here used . All directed ...Page 589

and i . i = j . j = k · k = 1 ( D . 2 ) Utilizing the above relations , the scalar product of

two

terms of their Cartesian components A = iA , + jA , + kA , and B = iB , + jB , + kB ...

and i . i = j . j = k · k = 1 ( D . 2 ) Utilizing the above relations , the scalar product of

two

**vectors**may be written in terms of their components . Expressing A and B interms of their Cartesian components A = iA , + jA , + kA , and B = iB , + jB , + kB ...

Page 596

Rotation or curl of a

may be derived from it by forming the

known ...

Rotation or curl of a

**Vector**Field . If v represents a continuous differentiable**vector**field , a second**vector**field of great importance in electromagnetic theorymay be derived from it by forming the

**vector**product of v and v . This product isknown ...

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angle applied approximately assumed atom axis becomes calculated capacity carrying cell characteristic charge circuit closed coil component condition conducting conductor connected considered constant curve density depends determined dielectric difference direction discharge discussion distance effective electric electrons element energy equal equation evident expression factor field flow flux force frequency function galvanometer given grid hence impedance important increases indicated induction integral ions known length limited linear load losses magnetic magnetic field magnitude maximum means measured mechanical metal meter method negative normal obtained oscillations parallel path period phase placed plate positive potential present produced proportional quantities radius ratio reduced region relation represents resistance respect result rotation seen separation Show shown simple solution space surface temperature terminals transformer tube unit vector volts volume wave wire written zero