Solution (source code)

= Solution

\b[No, as printed.] Each displayed vector has only two components, so neither is an element of the stated $\mathbb R^3$ without an additional embedding convention. Even if one inserts a zero third component, two vectors span at most a two-dimensional <linear subspace> and cannot form a <basis> of $\mathbb R^3$. This conclusion does not require guessing a missing third entry.