$\text{ Let }A(-1,3,3),B(3,2,1)\text{ then the projection of which point of the following on the }$$\text{ straight line through }\mathrm{A}\text{ and }\mathrm{B}\text{ falls on the line segment }\overline{AB}\text{ (end points included)}$

$\begin{array}{l}\text{For the option A}\\ \text{Equation of the plane passing through the point }\left(1,-1,2\right)\\ \text{and having AB as normal is }4x-y-2z-1=0\\ {\pi }_A\cdot {\pi }_B<0\\ \text{For the option B}\\ \text{Equation of the plane passing through the point }\left(-1,1,2\right)\\ \text{and having AB as normal is }4x-y-2z+10=0\\ {\pi }_A\cdot {\pi }_B<0\\ \text{For the option C}\\ \text{Equation of the plane passing through the point }\left(2,1,-1\right)\\ \text{and having AB as normal is }4x-y-2z-9=0\\ {\pi }_A\cdot {\pi }_B>0\\ \text{For the option D}\\ \text{Equation of the plane passing through the point }\left(2,-1,1\right)\\ \text{and having AB as normal is }4x-y-2z-7=0\\ {\pi }_A\cdot {\pi }_B<0\end{array}$