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  • Planes are drawn parallel to the coordinates planes through the points (3, 0, -1) and (-2, 5, 4). Find the lengths of the edges of the parallelepiped so formed.

Planes are drawn parallel to the coordinates planes through the points (3, 0, -1) and (-2, 5, 4). Find the lengths of the edges of the parallelepiped so formed.

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Given:;Points;are;(3,0,-1);and;(-2,5,4)\*We;need;to;find;the;lengths ;of;the;edges;of;the;parallelepiped;formed.\*For;point;(3,0,-1)\* Rightarrow x_1=3,y_1=0;and;z_1=-1\*For;point;(-2,5,4)\*Rightarrow x_2=-2,y_2=5;and;z_2=4\*Plane;parallel;to;coordinate;planes;of;x_1 ;and;x_2;is;yz-plane\*Plane;parallel;to;coordinate;planes;of; y_1;and;y_2;is;xz-plane\*Plane;parallel;to;coordinate;planes;of;z_1 ;and;z_2;is;xy-plane\*Distance;between;planes;x_1=3;and;x_2=-2; is;3-(-2)=3+2=5\*Distance;between;planes;x_1=0;and;y_2=5;is;5-0=5\*Distance;between;planes;z_1=-1;and;z_2=4;is;4-(-1)=4+1=5\* herefore The;edges;of;parallelepiped;is;5,5,5

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Deependra Verma

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