Consider the point.

$(1,5,6)$

What is the projection of the point on the xy$-$plane?

$($x$,$ y$,$ z$)=$

What is the projection of the point on the yz$-$plane?

$($x$,$ y$,$ z$)=$

What is the projection of the point on the xz$-$plane?

$($x$,$ y$,$ z$)=$

Draw a rectangular box with the origin and

$(1,5,6)$

as opposite vertices and with its faces parallel to the coordinate planes. Label all vertices of the box.

The x$$y$$z$-$coordinate space is given. A rectangular box is given with the origin and point $(1,5,6)$ as opposite vertices. The faces of the box are parallel to the coordinate planes. The vertices are as follows:

$(0,0,0)$ at the origin

$(1,0,0)$ on the positive x$-$axis

$(1,5,0)$ in the x$$y$-$plane

$(0,5,0)$ on the positive y$-$axis

$(0,0,6)$ on the positive z$-$axis

$(1,0,6)$ in the x$$z$-$plane

$(1,5,6)$ in the first octant

$(0,5,6)$ in the y$$z$-$plane

The x$$y$$z$-$coordinate space is given. A rectangular box is given with the origin and point $(1,5,6)$ as opposite vertices. The faces of the box are parallel to the coordinate planes. The vertices are as follows:

$(0,0,0)$ at the origin

$(0,1,0)$ on the positive x$-$axis

$(5,1,0)$ in the x$$y$-$plane

$(5,0,0)$ on the positive y$-$axis

$(0,0,6)$ on the positive z$-$axis

$(0,1,6)$ in the x$$z$-$plane

$(1,5,6)$ in the first octant

$(5,0,6)$ in the y$$z$-$plane

The x$$y$$z$-$coordinate space is given. A rectangular box is given with the origin and point $(1,5,6)$ as opposite vertices. The faces of the box are parallel to the coordinate planes. The vertices are as follows:

$(0,0,0)$ at the origin

$(0,0,1)$ on the positive x$-$axis

$(5,0,1)$ in the x$$y$-$plane

$(5,0,0)$ on the positive y$-$axis

$(0,6,0)$ on the positive z$-$axis

$(0,6,1)$ in the x$$z$-$plane

$(1,5,6)$ in the first octant

$(5,6,0)$ in the y$$z$-$plane