This is homework assignment 10, due on Friday, 3rdNovember.
Do problem 4.18(a). For this problem also show that A is an orthogonal
matrix. Do also the following problem.
We may express equation 4.62 of the text in the form
r' = R(n, phi)r.
Determine the nine elements of the 3 X 3 matrix
R(n, phi). Express your answer in a single
equation for the matrix element Ri,j
using the Kronecker delta and the Levi-Civita symbols. Do not use
Einstein summation convention in your solution.
Hints for second problem: 1. The Levi-Civita symbol is defined on page 169 of
the text. We have also discussed it in class. Note that
the book uses Einstein summation convention. Do not use
it in your solution. You will not receive any credit if you use it.
2. Write Eq. 4.62 for each component x, y, z. Then write
the whole matrix R(n, phi).
3. Then try writing a single equation for the element
Ri,j.
Solutions and
Grades
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