Question: Find the area of a triangle with base 10 and height 6 using cross product in complex analysis.
Approach: I know that $$\mathbf{a\times b}=\mathbf{||a||\cdot||b||}\sin \theta\mathbf{n}$$ $$\mathbf{a}\times\mathbf{b}= \begin{vmatrix} \mathbf{i} & \mathbf{j} & \mathbf{k} \\ a_1 & a_2 & a_3 \\ b_1 & b_2 & b_3 \\ \end{vmatrix}.$$
But how do I use this to find the area of the triangle above? Can someone assist me?