Solution
= Solution
This is a <plane> through the origin in three-dimensional <Euclidean space>, with nonzero <normal vector> $(1,2,-3)^T$:
$$
\boxed{\{(x,y,z):x+2y-3z=0\}\text{ is a plane through }\mathbf0.}
$$
= Solution
This is a <plane> through the origin in three-dimensional <Euclidean space>, with nonzero <normal vector> $(1,2,-3)^T$:
$$
\boxed{\{(x,y,z):x+2y-3z=0\}\text{ is a plane through }\mathbf0.}
$$