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Mathematics
Problem
The diagonals of a parallelogram are given by
a
⃗
=
2
i
^
−
j
^
+
k
^
\vec{a} = 2\hat{i} - \hat{j} + \hat{k}
a
=
2
i
^
−
j
^
+
k
^
and
b
⃗
=
i
^
+
3
j
^
−
k
^
\vec{b} = \hat{i} + 3\hat{j} - \hat{k}
b
=
i
^
+
3
j
^
−
k
^
. Find the area of the parallelogram.
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