Showing posts tagged geometry

32AH HW2 #2

My hope is that this picture will help with question 2 on the second homework: The picture indicates the situation in $\mathbf{R}^3$, but the idea generalizes to $\mathbf{R}^n$ for any $n$. The idea is that the set $W$ is the $(n-1)$-dimensional hyperplane containing $x0$ that is perpendicular to the vector $u$. The point $w0$ is the point in $W$ closest to $x \in \mathbf{R}^n$. Intuitively, we should expect that $w0$ is the intersection of $W$ with the line containing $x$ perpendicular to $W$…

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