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Mathematics
Problem
Let the vectors
a
\mathbf{a}
a
and
b
\mathbf{b}
b
be such that
∣
a
∣
=
3
|\mathbf{a}| = 3
∣
a
∣
=
3
,
∣
b
∣
=
2
3
|\mathbf{b}| = \frac{\sqrt{2}}{3}
∣
b
∣
=
3
2
and
a
×
b
\mathbf{a} \times \mathbf{b}
a
×
b
is a unit vector, then find the angle between
a
\mathbf{a}
a
and
b
\mathbf{b}
b
.
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