Coordinates and vectors

(0; )4;0

(4;0; )4

(0; 4; )4

(4; )4;0

(0; 2; )2

(2;0; )2

()2;0;0

(2; )2;0

──→──→AC⊥BD1

──→──→AB↑↓CD11

──→──→DC·BC=01

──→──→AD=BC11

──→──→CA,CD,111 ──→BC1

──→AC,1 ──→DC,1 ──→AD

──→──→AB,CC,1 ──→BD1

──→AB,1 ──→BD,1 ──→BC11