# 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.

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

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