Mathematics

Problem

- If

a, b

and

c

are three non-coplanar vectors, then find the value of

\frac{a \cdot (b \times c)}{b \cdot (c \times a)} + \frac{b \cdot (c \times a)}{c \cdot (a \times b)} + \frac{c \cdot (a \times b)}{a \cdot (b \times c)}