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Mathematics
Problem
If
a
=
2
i
^
−
3
j
^
+
k
^
\mathbf{a} = 2\hat{i} - 3\hat{j} + \hat{k}
a
=
2
i
^
−
3
j
^
+
k
^
,
b
=
−
i
^
+
k
^
\mathbf{b} = -\hat{i} + \hat{k}
b
=
−
i
^
+
k
^
,
c
=
2
j
^
−
k
^
\mathbf{c} = 2\hat{j} - \hat{k}
c
=
2
j
^
−
k
^
, then the area (in sq units) of parallelogram with diagonals
a
+
b
\mathbf{a} + \mathbf{b}
a
+
b
and
b
+
c
\mathbf{b} + \mathbf{c}
b
+
c
will be a.
21
\sqrt{21}
21
b.
2
21
2\sqrt{21}
2
21
c.
1
2
21
\frac{1}{2}\sqrt{21}
2
1
21
d. None of these
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