AE 321
Homework 2
Due in class on September 13
1. Find the rotation matrix [R] of direction cosines to transform: (a) 30° counter clockwise
around axis
x
3
, (b) 45° clockwise about
x
3
, followed by 60° counterclockwise about
′
x
1
2. Let
G
A
=
2
G
e
1
+
4
G
e
2
+
2
G
e
3
. Find the components of
G
A
after performing a counter clockwise
rotation of 45° around the
x
2
axis. What is the magnitude of
G
A
in each case?
3. Quantities
a
,
u
and
W
are a scalar, vector and two tensor field respectively (i.e. they are
functions of position x
1
, x
2
, x
3
). Prove the following identities using indicial notation:
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 Fall '07
 waller
 counter clockwise

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