Mathematics - 3D-Coordinate Geometry Question with Solution | TestHub

Let a point $(3\lambda +1,\lambda +2,2\lambda +3)$ of the first line also lies on the second line Then $\frac{3\lambda +1-3}{1}=\frac{\lambda +2-1}{2}=\frac{2\lambda +3-2}{3}\Rightarrow \lambda =1$ Hence the point of intersection P of the two lines is $(4,3,5)$ Equation of plane perpendicular to OP where O is $(0,0,0)$ and passing through P is

$$4x+3y+5z=50$$