Right hand rule

From fee definition of fee vector product given above, it is clear that fee magnitude of fee vector C in Eq. (22) is equal to the area of the parallelogram defined by fee vectors A and B which describe its sides. However, there are two problems associated wife this definition. First of all, the direction of fee vector C is ambiguous in fee absence of a convention. It is usually assumed, however, feat fee "right-hand rule" applies. Thus, if the first finger of the right... 

Fig. 4.17. The Right Hand Rule (I thumb, B index finger, Fl middle finger) to determine the direction of the Lorentz Force (a) the current corresponds to the direction where positive charges move, i.e., the figure directly applies for positive ions, (b) A real magnet yoke without coils and flight tube. With kind permission of Thermo Electron (Bremen) GmbH, (left) and Waters Corporation, MS Technologies, Manchester, UK (right).

FIGURE 1.28 The right-handed rule for labelling axes. 

Figure 10. Two-slit diffraction experiment of the Aharonov-Bohm effect. Electrons are produced by a source at X, pass through the slits of a mask at Y1 and Y2, interact with the A field at locations I and II over lengths h and l2, respectively, and their diffraction pattern is detected at III. The solenoid magnet is between the slits and is directed out of the page. The different orientations of the external A field at the places of interaction I and II of the two paths 1 and 2 are indicated by arrows following the right-hand rule.

The Lorentz force encompasses the Lenz75 "right-hand rule" between v, B, and F and also explains how cyclotrons and mass spectrometers work. Practical applications of the Lorentz force are (i) the cyclotron (Problem 2.7.1) with its cyclotron frequency ... 

The electromagnetic right-hand rule is the most direct demonstration that space is chiral. In fact, it provides the only known way of communicating to a... 

Figure 1.39. Vector (cross) product of two vectors. The orientation of V3 is determined using the right-hand rule thumb of the right hand is aligned with Vj, index finger with V2, then V3 is aligned with the middle finger. Tails of all vectors face the middle of the palm.

In this way so-called 90° and 180° pulses as well as pulses with arbitrary flip angles can be applied. The nomenclature used is that for mathematically positive rotations [Eml]. Here the right hand rule applies, where the thumb of the right hand points into the direction of the rotation axis and the fingers point into the direction of the rotation. 

In this expression, the orientations for dZ and dS are obtained according to right-hand rule convention illustrated in Fig. 1.18. 

Figure 1.18. Use of the right-hand rule to define the direction of dl and dS.

Rgure 12.1. Right-hand rule. A current i flowing in a conductor loop generates a magnetic fleld H in the direction shown. 

Cross product. A geometrical operation wherein two vectors will generate a third vector orthogonal (perpendicular) to both vectors. The cross product also has a particular handedness (we use the right-hand rule), so the order of how the vectors are introduced into the operation is often important. 

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