Consider the vectors \(\mathbf{v}, \mathbf{w}, \mathbf{x}\) and \(\mathbf{y}\) in the picture below:
We will project each of these vectors onto \(\mathbf{u} = \begin{pmatrix} 1\\ 1 \end{pmatrix}\), pictured below:
The projections are the list \(\mathbf{a}, \mathbf{b}, \mathbf{c}, \mathbf{d}\) in some order:
What order do we put \(\mathbf{a}, \mathbf{b}, \mathbf{c}, \mathbf{d}\) in such that the first vector is the projection of v onto u, the second vector is the projection of w onto u, the third vector is the projection of x onto u, and the fourth vector is the projection of y onto u?
