(a) How do the components of a vector5 transform under a translation of coordinates Fig. 1.16a)?
(b) How do the components of a vector transform under an inversion of coordinates Fig. 1.16b)?
(c) How do the components of a cross product (Eq. 1.13) transform under inversion? [The cross-product of two vectors is properly called a pseudovector because of this “anomalous” behavior.] Is the cross product of two pseudovectors a vector, or a pseudovector? Name two pseudovector quantities in classical mechanics.
(d) How does the scalar triple product of three vectors transform under inversions? (Such an object is called a pseudoscalar.)
Reference equation 1.13
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