Using vectors, find the area of ΔABC whose vertices are

A(3, 1, 2), B(1, 1, 3) and C(4, 3, 1)


Through the vertices we get the adjacent vectors as,



The area of the triangle = , where a and b are it’s adjacent sides vectors.


Area =



Here,


We


have



Thus, substituting the values of ,


in equation (i) we get




sq units


1