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Mathematics
Problem
A vector
a
\mathbf{a}
a
has components
a
1
,
a
2
a_1, a_2
a
1
,
a
2
and
a
3
a_3
a
3
in a right handed rectangular cartesian system
O
X
Y
Z
OXYZ
O
X
Y
Z
. The coordinate system is rotated about
Z
Z
Z
-axis through angle
π
2
\frac{\pi}{2}
2
π
. Find components of
a
\mathbf{a}
a
in the new system.
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