Through the vertices we get the adjacent vectors as,
\(\overset{\rightarrow}{AB}\) = i+2j - 3k and \(\overset{\rightarrow}{AC}\) = 2i
The area of the triangle = \(\frac{|\overset{\rightarrow}{a}\times\overset{\rightarrow}{b}|}{2}\), where a and b are it’s adjacent sides vectors.
Thus, substituting the values of a1, a2, a3 and b1, b2 and b3, in equation (i) we get