6. Let \(F(x, y, z) = (y^2 + z^2, 2x^2 + y^2, y^2)\). Compute the line integral \(\int_C \mathbf{F} \cdot d\mathbf{r}\), where C is the triangle with vertices \((1, 1, 1)\), \((1, 2, 0)\) and \((0, 1, 3)\). The triangle C is traversed in the following order \((1, 1, 1)\), \((1, 2, 0)\) and \((0, 1, 3)\) and \((1, 1, 1)\). (Ch. 16.5) (4 p)