The vector equation of the plane passing through A(\(\bar{a}\)), B(\(\bar{b}\)), C(\(\bar{c}\)), where A, B, C are non-collinear is
The required plane makes intercepts 1, 1, 1 on the coordinate axes.
∴ it passes through the three non-collinear points A (1, 0, 0), B = (0, 1, 0), C = (0, 0, 1)
∴ from (1), the vector equation of the required plane is \(\bar{r} . (\hat{i} + \hat{j} + \hat{k}) = 1.\)
