Let E–ABCD be a pyramid on square base ABCD where A is the origin and B and D are lying on positive x-axis and y-axis respectively. If E is (0,2,3) and $\overrightarrow{DE}\cdot (\widehat{i}+\widehat{j})=\overrightarrow{0},$ then

image of the point D in the plane ABE is $\left(0,\frac{-6}{13},\frac{30}{13}\right)$

image of the point D in the plane ABE is $\left(0,\frac{-10}{13},\frac{24}{13}\right)$

volume of the tetrahedron ABDE is 2 cubic units 

perpendicular distance of the point D from the plane ABE is $\frac{9}{\sqrt{13}}$