User:Wikieditoroftoday/Solutions To Physics Textbooks/Physical Properties of Crystals (9780198511656)/Chapter 2
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Chapter 2 - Transformations and Second-Rank Tensors: Further Developments
[edit | edit source]Exercise 2.1
[edit | edit source]p.35
Problem: Prove that the square length is an invariant (does not change by a transformation of axes).
Solution:
with the relation (6) on p.34 ( is the Kronecker delta) it follows that
Exercise 2.2
[edit | edit source]p.46
Exercise 2.3
[edit | edit source]p.46
Exercise 2.4
[edit | edit source]p.47
Exercise 2.5
[edit | edit source]p.47
Exercise 2.6
[edit | edit source]p.48