The points $A _ { 1 } ( 0 | 0 | 0 ) , A _ { 2 } ( 20 | 0 | 0 ) , A _ { 3 }$ and $A _ { 4 } ( 0 | 10 | 0 )$ represent the vertices of the base of the multipurpose hall in the model, and the points $B _ { 1 } , B _ { 2 } , B _ { 3 }$ and $B _ { 4 }$ represent the vertices of the roof surface. The side wall that lies in the $x _ { 1 } x _ { 3 }$-plane in the model is 6 m high, and the opposite wall is only 4 m high. Give the coordinates of the points $B _ { 2 } , B _ { 3 }$ and $B _ { 4 }$ and confirm that these points lie in the plane $E : x _ { 2 } + 5 x _ { 3 } - 30 = 0$.
The points $A _ { 1 } ( 0 | 0 | 0 ) , A _ { 2 } ( 20 | 0 | 0 ) , A _ { 3 }$ and $A _ { 4 } ( 0 | 10 | 0 )$ represent the vertices of the base of the multipurpose hall in the model, and the points $B _ { 1 } , B _ { 2 } , B _ { 3 }$ and $B _ { 4 }$ represent the vertices of the roof surface. The side wall that lies in the $x _ { 1 } x _ { 3 }$-plane in the model is 6 m high, and the opposite wall is only 4 m high.
Give the coordinates of the points $B _ { 2 } , B _ { 3 }$ and $B _ { 4 }$ and confirm that these points lie in the plane $E : x _ { 2 } + 5 x _ { 3 } - 30 = 0$.