Answer :
The orthographic projection onto the xz plane projects the point (1, 2, 3) to the point (1, 0, 3) on the xz plane.
The orthographic projection onto the xz plane, denoted as Pxz, transforms a point in three-dimensional space to a point on the xz plane.
To find the image of the point (1, 2, 3) under this projection, we need to eliminate the y-coordinate and obtain the x and z coordinates of the projected point.
Since Pxz projects onto the xz plane, the y-coordinate will be discarded, leaving us with (x, 0, z).
In this case, the x-coordinate remains 1 and the z-coordinate remains 3, giving us the image of the point (1, 2, 3) under Pxz as (1, 0, 3).
In summary, the orthographic projection onto the xz plane projects the point (1, 2, 3) to the point (1, 0, 3) on the xz plane.
This transformation maps a three-dimensional point to a two-dimensional plane by discarding one coordinate. In this case, the y-coordinate is ignored, resulting in a point with the same x and z coordinates as the original point, but with a y-coordinate of 0.
Learn more about orthogonal projection from this link
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