Find the vector equation for the line which passes through the point (1, ,2 3) and parallel to the vector ` hat i-2 hat j+3 hat kdot` reduce the corresponding equation in the Cartesian from.

Explanation

Vector equation:


`vec{r}=hat{i}+2 hat{j}+3 hat{k}+lambda(hat{i}-2 hat{j}+3 hat{k})`


Cartesian equation:


` frac{{x}-1}{1}=frac{{y}-2}{-2}=frac{{z}-3}{3}`