Answer:
the projection of the point on the xy-plane? (x, y, z) = <u> (2, 3, 0) </u>
the projection of the point on the xy-plane? (x, y, z) = <u> (0, 3, 5) </u>
the projection of the point on the xz-plane? (x, y, z) = <u> (2, 0, 5) </u>
Step-by-step explanation:
Consider the point. (2, 3, 5)
A point denotes a location in space. Points are normally represented by a a very small infinite circle or dot. A point has a position but has no magnitude.
the projection of the point on the xy-plane? (x, y, z) = <u> (2, 3, 0) </u>
<u />
the projection of the point on the xy-plane? (x, y, z) = <u> (0, 3, 5) </u>
<u />
the projection of the point on the xz-plane? (x, y, z) = <u> (2, 0, 5) </u>
<u />
The length of the diagonal for this projection = ![\sqrt{(2)^2 + (3)^2 +(5)^2}](https://tex.z-dn.net/?f=%5Csqrt%7B%282%29%5E2%20%2B%20%283%29%5E2%20%2B%285%29%5E2%7D)
The length of the diagonal for this projection = ![\sqrt{4 + 9+25}](https://tex.z-dn.net/?f=%5Csqrt%7B4%20%2B%209%2B25%7D)
The length of the diagonal for this projection = ![\sqrt{38}](https://tex.z-dn.net/?f=%5Csqrt%7B38%7D)