8 files changed, 92 insertions, 120 deletions

diff --git a/mat/domace_naloge/26/dokument.aux b/mat/domace_naloge/26/dokument.aux
index 4bd6ff4..b95915c 100644
--- a/mat/domace_naloge/26/dokument.aux
+++ b/mat/domace_naloge/26/dokument.aux
@@ -28,6 +28,7 @@
 \babel@aux{slovene}{}
 \babel@aux{slovene}{}
 \@writefile{toc}{\contentsline {paragraph}{Navodilo naloge}{1}{section*.1}\protected@file@percent }
+\@writefile{toc}{\contentsline {paragraph}{Opomba}{1}{section*.2}\protected@file@percent }
 \exsheets@sum@of@points {0}
 \exsheets@sum@of@bonus {0}
 \gdef \numberofquestions {0}
diff --git a/mat/domace_naloge/26/dokument.log b/mat/domace_naloge/26/dokument.log
index 3aec48b..0235f54 100644
--- a/mat/domace_naloge/26/dokument.log
+++ b/mat/domace_naloge/26/dokument.log
@@ -1,4 +1,4 @@
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 []|\OT1/cmr/m/n/10 v ena-ko-strani^^Tcnem tri-ko-tniku s stra-nico, dolgo [][],
 
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diff --git a/mat/domace_naloge/26/dokument.pdf b/mat/domace_naloge/26/dokument.pdf
index e422053..4f9d196 100644
--- a/mat/domace_naloge/26/dokument.pdf
+++ b/mat/domace_naloge/26/dokument.pdf
diff --git a/mat/domace_naloge/26/dokument.synctex.gz b/mat/domace_naloge/26/dokument.synctex.gz
index 29d69dc..fe99585 100644
--- a/mat/domace_naloge/26/dokument.synctex.gz
+++ b/mat/domace_naloge/26/dokument.synctex.gz
diff --git a/mat/domace_naloge/26/dokument.tex b/mat/domace_naloge/26/dokument.tex
index 691a83e..6a1fbb6 100644
--- a/mat/domace_naloge/26/dokument.tex
+++ b/mat/domace_naloge/26/dokument.tex
@@ -137,6 +137,7 @@
 Ta dokument vsebuje navodila in rešitve domačih nalog snovi \textit{\snovdn}pri matematiki, ki sem jih spisal sam.
 \end{abstract}
 \paragraph{Navodilo naloge} \textbf{vaje2:} 83 / 567, 568, 569
+\paragraph{Opomba} Rešitev naloge je napačna.
 %\tableofcontents
 \begin{enumerate}[label=\textbf{\arabic*.}]
 	\setcounter{enumi}{566}
diff --git a/mat/domace_naloge/26/stderr.log b/mat/domace_naloge/26/stderr.log
index 393e7ee..a23834c 100644
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diff --git a/mat/domace_naloge/26/stdout.log b/mat/domace_naloge/26/stdout.log
index a50f3bc..74d2f56 100644
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diff --git a/mat/domace_naloge/26/ž b/mat/domace_naloge/27/dokument.tex
index 04b062a..a486184 100644
--- a/mat/domace_naloge/26/ž
+++ b/mat/domace_naloge/27/dokument.tex
@@ -99,7 +99,7 @@
 \newcommand{\snovdn}{Skalarni produkt vektorjev }
 \newcommand{\predmdn}{mat}
 \newcommand{\predmkaj}{domace\_naloge}
-\newcommand{\stevilkadn}{26}
+\newcommand{\stevilkadn}{27}
 \newcommand{\cm}[1]{\SI{#1}{\centi\meter}}
 \newcommand{\kmh}[1]{\SI{#1}{\kilo\meter\per\hour}}
 \makeatletter
@@ -134,61 +134,30 @@
 \begin{document}
 \maketitle
 \begin{abstract}
-Ta dokument vsebuje navodila in rešitve domačih nalog snovi \textit{\snovdn}pri matematiki, ki sem jih spisal sam.
+Ta dokument vsebuje navodila in rešitve domačih nalog snovi \textit{\snovdn}pri matematiki, ki sem jih spisal sam. Kjer je bilo potrebno izbrati neke poljubne primere, sem jih vedno izbral naključno.
 \end{abstract}
-\paragraph{Navodilo naloge} \textbf{vaje2:} 83 / 567, 568, 569
+\paragraph{Navodilo naloge} \textbf{listi:} \textit{Skalarni produkt} / 1, ... 6 (izberi 3 naloge, povsod vsaj 2 primera)
 %\tableofcontents
 \begin{enumerate}[label=\textbf{\arabic*.}]
-	\setcounter{enumi}{566}
-	\item Izračunaj skalarni produkt označenih vektorjev na dva načina (po definiciji in z uporabo pravokotne projekcije enega vektorja na drugi vektor):
-		\begin{tasks}[label=\textbf{\xslalph*)}](2)
-			\task v enakostraničnem trikotniku s stranico, dolgo \cm{3},
-				\begin{tikzpicture}[vect/.style={->,shorten >=0pt,>=latex'}]
-					\tkzDefPoint(0,0){A} \tkzDefPoint(3,0){B} \tkzDefPoint(60:3){C}
-					\tkzDrawPolygon[fill=red!30, opacity=.3](A,B,C)
-					\tkzDrawSegments[vect](A,B A,C)
-				\end{tikzpicture}
-				$$\Vec{c}\cdot\Vec{b}=|\Vec{c}|\cdot|\Vec{b}|=9\cdot\cos{\ang{60}}=4,5$$
-			\task v enakostraničnem trikotniku s stranico, dolgo \cm{3},
-				\begin{tikzpicture}[vect/.style={->,shorten >=0pt,>=latex'}]
-					\tkzDefPoint(0,0){A} \tkzDefPoint(3,0){B} \tkzDefPoint(60:3){C}
-					\tkzDrawPolygon[fill=red!30, opacity=.3](A,B,C)
-					\tkzDrawSegments[vect](C,A B,C)
-				\end{tikzpicture}
-				$$\Vec{a}\cdot\Vec{b}=|\Vec{a}|\cdot|\Vec{b}|\cdot\cos{\left(\ang{180}-\ang{60}\right)}=-4,5$$
-			\task v pravokotniku s stranicama, dolgima \cm{6} in \cm{2},
-				\begin{tikzpicture}[vect/.style={->,shorten >=0pt,>=latex'}]
-					\tkzDefPoint(0,0){A} \tkzDefPoint(6,0){B} \tkzDefPoint(6,2){C} \tkzDefPoint(0,2){D}
-					\tkzDrawPolygon[fill=red!30, opacity=.3](A,B,C,D)
-					\tkzDrawSegments[vect](A,B B,C)
-				\end{tikzpicture}
-			\task v pravokotniku s stranicama, dolgina \cm{6} in \cm{2},
-				\begin{tikzpicture}[vect/.style={->,shorten >=0pt,>=latex'}]
-					\tkzDefPoint(0,0){A} \tkzDefPoint(6,0){B} \tkzDefPoint(6,2){C} \tkzDefPoint(0,2){D}
-					\tkzDrawPolygon[fill=red!30, opacity=.3](A,B,C,D)
-					\tkzDrawSegments[vect](A,B A,C)
-				\end{tikzpicture}
-			\task v pravilnem 6-kotniku s stranico, dolgo \cm{2},
-			
-				\begin{tikzpicture}[vect/.style={->,shorten >=0pt,>=latex'}]
-					\tkzDefPoint(0,0){A} \tkzDefPoint(2,0){B}
-					\tkzDefRegPolygon[name=P,sides=6,side](A,B)
-					\tkzDrawPolygon[fill=red!30, opacity=.3](P1,P2,P3,P4,P5,P6)
-					\tkzDrawSegments[vect](P2,P1 P2,P3)
-				\end{tikzpicture}
-			\task v pravilnem 6-kotniku s stranico, dolgo \cm{2}.
-			
-				\begin{tikzpicture}[vect/.style={->,shorten >=0pt,>=latex'}]
-					\tkzDefPoint(0,0){A} \tkzDefPoint(2,0){B}
-					\tkzDefRegPolygon[name=P,sides=6,side](A,B)
-					\tkzDrawPolygon[fill=red!30, opacity=.3](P1,P2,P3,P4,P5,P6)
-					\tkzDrawSegments[vect](P1,P6 P3,P2)
-				\end{tikzpicture}
-		\end{tasks}
-	\item Kocka $ABCDA'B'C'D'$ ima \cm{10} dolg rob. Izračunaj $\vektor{AB}\cdot\vektor{AC}$, $\vektor{AB}\cdot\vektor{AC'}$,
-		$\vektor{AD'}\cdot\vektor{AC'}$, $\vektor{BD'}\cdot\vektor{DB'}$.
-	\item Tetraeder $ABCD$ ima \cm{10} dolg rob. Izračunaj $\vektor{AB}\cdot\vektor{AC}$, $\vektor{AB}\cdot\vektor{AD}$,
-		$\vektor{AD}\cdot\vektor{AD}$.
+	\item Naj bo $ABCDEF$ pravilni šestkotnik, $G$ razpolovišče stranice $CD$ in $H$ presečišče šestkotnikovih diagonal.
+		\begin{enumerate}[label=\textbf{\xslalph*)}]
+			\item Dokaži, da sta nosilki daljic $AF$ in $GH$ pravokotni.
+			\item Ali je $AF$ pravokotna na $FG$?
+		\end{enumerate}
+	\setcounter{enumi}{2}
+	\item Naj bo $ABCD$ kvadrat s stranico dolžine $a$, $E$ razpolovišče stranice $AB$, $F$ razpolovišče stranice $AD$, $G$ pa presečišče diagonal kvadrata.
+		\begin{enumerate}[label=\textbf{\xslalph*)}]
+			% \item Izračunaj $\vektor{AG}\cdot\vektor{BC}$.
+			\setcounter{enumii}{1}
+			\item Ali sta vektorja $\vektor{FC}$ in $\vektor{BF}$ pravokotna?
+			\item Kakšen kot oklepata vektorja $\vektor{AD}$ in $\vektor{CG}$?
+		\end{enumerate}
+	\item Naj bo $ABCDEFGH$ kocka z robom $a$ in $P$ razpolovišče roba $CG$.
+		\begin{enumerate}[label=\textbf{\xslalph*)}]
+			\setcounter{enumii}{2}
+			\item Kakšen kot oklepata vektorja $\vektor{AD}$ in $\vektor{CS}$?
+			\item[\textbf{*d)}] Naj bo $Q$ razpolovišče roba $AE$. Dokaži, da je štirikotnik $BPHQ$ kvadrat.
+		\end{enumerate}
 \end{enumerate}
 \section{Zaključek}
 Ta dokument je informativne narave in se lahko še spreminja. Najnovejša različica, torej PDFji in