Question
Find the area of the triangle (by vectors) with vertices
A (3, – 1, 2), B (1, – 1, – 3) and C (4, – 3, 1).
Solution
Given vertices are A (3, – 1, 2) , B (1, – 1, – 3), C (4, – 3, 1 ).
Let
be position vectors of A, B, C respectively.

Now,


Let


Now,


