Applications of cross product :
(i) The area of triangle formed by \(
\overrightarrow A \& \,\overrightarrow B
\) as adjacent sides is \(
\frac{1}
{2}\left| {\overrightarrow A \times \overrightarrow B } \right|
\)
(ii) The area of parallelogram formed by \(
\overrightarrow A \,\& \,\overrightarrow B
\) as adjacent sides is \(
\left| {\overrightarrow A \times \overrightarrow B } \right|
\)
(iii) The area of parallelogram formed by \(
\overrightarrow {d_1 } \& \overrightarrow {d_2 }
\) as its diagonals is \(
\frac{1}
{2}\left| {\overrightarrow {d_1 } \times \overrightarrow {d_2 } } \right|
\)