diff --git a/LinAlg2.tex b/LinAlg2.tex index cd2493c..6bbb970 100644 --- a/LinAlg2.tex +++ b/LinAlg2.tex @@ -2108,21 +2108,21 @@ Auch skalare Produkte können eindeutig fortgesetzt werden. \allowdisplaybreaks \subsubsection{Veranschaulichung im $\R^2$} -\begin{tikzpicture}[scale=3] +\begin{tikzpicture}[scale=3.09] \tikzmath{ \a1 = 3; \a2 = 1; \a3 = 2; \a4 = 2; - \norma1 = sqrt(\a1^2 + \a2^2); + \norma1 = sqrt((\a1 * \a1 + \a2 * \a2)); \normeda1 = \a1 / \norma1; \normeda2 = \a2 / \norma1; - \innerprod = \normeda1 * \a3 + \normeda2 * \a4; + \innerprod = (\normeda1 * \a3) + (\normeda2 * \a4); \c1 = \a3 - (\innerprod * \normeda1); \c2 = \a4 - (\innerprod * \normeda2); \t1 = (\innerprod * \normeda1); \t2 = (\innerprod * \normeda2); - \normc = sqrt(\c1^2 + \c2^2); + \normc = sqrt((\c1 * \c1 + \c2 * \c2)); \b3 = \c1 / \normc; \b4 = \c2 / \normc; }