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authorsijanec <anton@sijanec.eu>2021-02-21 21:04:32 +0100
committersijanec <anton@sijanec.eu>2021-02-21 21:04:32 +0100
commit3b2531de024af4ba031b81282c36bd1bdce7aa02 (patch)
tree877b71629ba560fa74439bcd0f7d6b49c75735d7
parentnavodilo naloge (diff)
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-rw-r--r--mat/domace_naloge/26/dokument.aux2
-rw-r--r--mat/domace_naloge/26/dokument.log71
-rw-r--r--mat/domace_naloge/26/dokument.pdfbin57785 -> 64025 bytes
-rw-r--r--mat/domace_naloge/26/dokument.synctex.gzbin18248 -> 26595 bytes
-rw-r--r--mat/domace_naloge/26/dokument.tex14
-rw-r--r--mat/domace_naloge/26/stderr.log2
-rw-r--r--mat/domace_naloge/26/stdout.log182
-rw-r--r--mat/domace_naloge/26/ž211
8 files changed, 369 insertions, 113 deletions
diff --git a/mat/domace_naloge/26/dokument.aux b/mat/domace_naloge/26/dokument.aux
index 5634c4d..4bd6ff4 100644
--- a/mat/domace_naloge/26/dokument.aux
+++ b/mat/domace_naloge/26/dokument.aux
@@ -28,8 +28,8 @@
\babel@aux{slovene}{}
\babel@aux{slovene}{}
\@writefile{toc}{\contentsline {paragraph}{Navodilo naloge}{1}{section*.1}\protected@file@percent }
-\@writefile{toc}{\contentsline {section}{\numberline {1}Zaključek}{1}{section.1}\protected@file@percent }
\exsheets@sum@of@points {0}
\exsheets@sum@of@bonus {0}
\gdef \numberofquestions {0}
+\@writefile{toc}{\contentsline {section}{\numberline {1}Zaključek}{2}{section.1}\protected@file@percent }
\gdef \@abspage@last{2}
diff --git a/mat/domace_naloge/26/dokument.log b/mat/domace_naloge/26/dokument.log
index 2f57d85..3aec48b 100644
--- a/mat/domace_naloge/26/dokument.log
+++ b/mat/domace_naloge/26/dokument.log
@@ -1,4 +1,4 @@
-This is pdfTeX, Version 3.14159265-2.6-1.40.21 (TeX Live 2020) (preloaded format=pdflatex 2020.12.21) 21 FEB 2021 00:07
+This is pdfTeX, Version 3.14159265-2.6-1.40.21 (TeX Live 2020) (preloaded format=pdflatex 2020.12.21) 21 FEB 2021 21:03
entering extended mode
\write18 enabled.
%&-line parsing enabled.
@@ -1767,61 +1767,70 @@ LaTeX Font Info: Trying to load font information for U+msb on input line 134
(/usr/local/texlive/2020/texmf-dist/tex/latex/amsfonts/umsb.fd
File: umsb.fd 2013/01/14 v3.01 AMS symbols B
)
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+Overfull \hbox (6.69476pt too wide) in paragraph at lines 191--191
[]|\OT1/cmr/m/n/10 v ena-ko-strani^^Tcnem tri-ko-tniku s stra-nico, dolgo [][],
[]
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+Overfull \hbox (6.69476pt too wide) in paragraph at lines 191--191
|\OT1/cmr/m/n/10 v ena-ko-strani^^Tcnem tri-ko-tniku s stra-nico, dolgo [][],
[]
-Overfull \hbox (1.88957pt too wide) in paragraph at lines 185--185
+Overfull \hbox (1.88957pt too wide) in paragraph at lines 191--191
|\OT1/cmr/m/n/10 v pra-vo-ko-tniku s stra-ni-cama, dol-gima [][] in [][],
[]
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-(hyperref) not defined in PD1 encoding,
-(hyperref) removing `\textasciicaron' on input line 191.
+Overfull \hbox (6.63931pt too wide) detected at line 191
+[] \OMS/cmsy/m/n/10 ^^A [] \OT1/cmr/m/n/10 = \OMS/cmsy/m/n/10 j[]j ^^A j[]j ^^A
+ [] [][]\OT1/cmr/m/n/10 11\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 926966
+ []
[1
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+
+Package hyperref Warning: Composite letter `\textasciicaron+c'
+(hyperref) not defined in PD1 encoding,
+(hyperref) removing `\textasciicaron' on input line 205.
+
[2] (./dokument.aux)
Package rerunfilecheck Info: File `dokument.out' has not changed.
(rerunfilecheck) Checksum: 8100D3BBD9090570F4741E21DDC77BBB;44.
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Here is how much of TeX's memory you used:
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- 1042757 string characters out of 5869354
- 1560916 words of memory out of 5000000
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+ 44278 strings out of 479382
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+ 60414 multiletter control sequences out of 15000+600000
417199 words of font info for 80 fonts, out of 8000000 for 9000
1141 hyphenation exceptions out of 8191
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-></usr/local/texlive/2020/texmf-dist/fonts/type1/public/amsfonts/cm/cmbx12.pfb>
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-xmf-dist/fonts/type1/public/amsfonts/cm/cmtt8.pfb>
-Output written on dokument.pdf (2 pages, 173797 bytes).
+ 94i,16n,118p,1061b,1266s stack positions out of 5000i,500n,10000p,200000b,80000s
+{/usr/local/texlive/2020/texmf-dist/fonts/enc/dvips/cm-super/cm-super-ts1.enc
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diff --git a/mat/domace_naloge/26/dokument.pdf b/mat/domace_naloge/26/dokument.pdf
index 36f2f01..e422053 100644
--- a/mat/domace_naloge/26/dokument.pdf
+++ b/mat/domace_naloge/26/dokument.pdf
Binary files differ
diff --git a/mat/domace_naloge/26/dokument.synctex.gz b/mat/domace_naloge/26/dokument.synctex.gz
index 3c0a2d7..29d69dc 100644
--- a/mat/domace_naloge/26/dokument.synctex.gz
+++ b/mat/domace_naloge/26/dokument.synctex.gz
Binary files differ
diff --git a/mat/domace_naloge/26/dokument.tex b/mat/domace_naloge/26/dokument.tex
index 2871afb..691a83e 100644
--- a/mat/domace_naloge/26/dokument.tex
+++ b/mat/domace_naloge/26/dokument.tex
@@ -148,24 +148,28 @@ Ta dokument vsebuje navodila in rešitve domačih nalog snovi \textit{\snovdn}pr
\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}
+ $$\Vec{a}\cdot\Vec{b}=|\Vec{a}|\cdot|\Vec{b}|\cdot\cos{\ang{90}}=0$$
\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}
+ $$\vektor{b}\cdot\vektor{e}=|\vektor{b}|\cdot|\vektor{e}|\cdot\cos{\left(\sqrt{\cm{6}^2+\cm{2}^2}\right)}\Dot=11,926966$$
\task v pravilnem 6-kotniku s stranico, dolgo \cm{2},
\begin{tikzpicture}[vect/.style={->,shorten >=0pt,>=latex'}]
@@ -174,6 +178,7 @@ Ta dokument vsebuje navodila in rešitve domačih nalog snovi \textit{\snovdn}pr
\tkzDrawPolygon[fill=red!30, opacity=.3](P1,P2,P3,P4,P5,P6)
\tkzDrawSegments[vect](P2,P1 P2,P3)
\end{tikzpicture}
+ $$\vektor{P_1P_2}\cdot\vektor{P_2P_3}=|\vektor{P_1P_2}|\cdot|\vektor{P_2P_3}|\cdot\cos{\ang{120}}=-2$$
\task v pravilnem 6-kotniku s stranico, dolgo \cm{2}.
\begin{tikzpicture}[vect/.style={->,shorten >=0pt,>=latex'}]
@@ -182,11 +187,20 @@ Ta dokument vsebuje navodila in rešitve domačih nalog snovi \textit{\snovdn}pr
\tkzDrawPolygon[fill=red!30, opacity=.3](P1,P2,P3,P4,P5,P6)
\tkzDrawSegments[vect](P1,P6 P3,P2)
\end{tikzpicture}
+ $$\Vec{P_6P_1}\cdot\Vec{P_3P_2}=|\Vec{P_6P_1}|\cdot|\Vec{P_3P_2}|\cdot\cos{\ang{120}}=-2$$
\end{tasks}
\item Kocka $ABCDA'B'C'D'$ ima \cm{10} dolg rob. Izračunaj $\vektor{AB}\cdot\vektor{AC}$, $\vektor{AB}\cdot\vektor{AC'}$,
$\vektor{AD'}\cdot\vektor{AC'}$, $\vektor{BD'}\cdot\vektor{DB'}$.
+ $$\vektor{AB}\cdot\vektor{AC}=\cm{10}\cdot\cm{10}\cdot\cos{\ang{45}}=50$$
+ $$\vektor{AB}\cdot\vektor{AC'}=\cm{10}\cdot\sqrt{\cm{10}^2+\cm{10}^2}\cdot\cos{\ang{45}}=70,710678$$
+ $$\vektor{AD'}\cdot\vektor{AC'}=\cm{10}\cdot\sqrt{\cm{10}^2+\cm{10}^2}\cdot\cos{\ang{45}}=100$$
+ $$\vektor{BD'}\cdot\vektor{DB'}=\sqrt{\cm{10}^2+\cm{10}^2}\cdot\sqrt{\cm{10}^2+\cm{10}^2}\cos\ang{45}=100$$
\item Tetraeder $ABCD$ ima \cm{10} dolg rob. Izračunaj $\vektor{AB}\cdot\vektor{AC}$, $\vektor{AB}\cdot\vektor{AD}$,
$\vektor{AD}\cdot\vektor{AD}$.
+ \def\kot{70,528779}
+ $$\vektor{AB}\cdot\vektor{AC}=\cm{10}\cdot\cm{10}\cdot\cos\arccos\frac{1}{3}=33,\overline{3}$$
+ $$\vektor{AB}\cdot\vektor{AD}=\cm{10}\cdot\cm{10}\cdot\cos\arccos\frac{1}{3}=33,\overline{3}$$
+ $$\vektor{AD}\cdot\vektor{AD}=100$$
\end{enumerate}
\section{Zaključek}
Ta dokument je informativne narave in se lahko še spreminja. Najnovejša različica, torej PDFji in
diff --git a/mat/domace_naloge/26/stderr.log b/mat/domace_naloge/26/stderr.log
index a569f42..393e7ee 100644
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diff --git a/mat/domace_naloge/26/stdout.log b/mat/domace_naloge/26/stdout.log
index a422ed7..a50f3bc 100644
--- a/mat/domace_naloge/26/stdout.log
+++ b/mat/domace_naloge/26/stdout.log
@@ -526,40 +526,47 @@ onary-English.dict)
(/usr/local/texlive/2020/texmf-dist/tex/latex/exsheets/exsheets_configurations.
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+Overfull \hbox (6.69476pt too wide) in paragraph at lines 191--191
[]|\OT1/cmr/m/n/10 v ena-ko-strani^^Tcnem tri-ko-tniku s stra-nico, dolgo [][],
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+Overfull \hbox (6.69476pt too wide) in paragraph at lines 191--191
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+Overfull \hbox (1.88957pt too wide) in paragraph at lines 191--191
|\OT1/cmr/m/n/10 v pra-vo-ko-tniku s stra-ni-cama, dol-gima [][] in [][],
+Overfull \hbox (6.63931pt too wide) detected at line 191
+[] \OMS/cmsy/m/n/10 ^^A [] \OT1/cmr/m/n/10 = \OMS/cmsy/m/n/10 j[]j ^^A j[]j ^^A
+ [] [][]\OT1/cmr/m/n/10 11\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 926966
+[1{/usr/local/texlive/2020/texmf-var/fonts/map/pdftex/updmap/pdftex.map}]
+
Package hyperref Warning: Composite letter `\textasciicaron+c'
(hyperref) not defined in PD1 encoding,
-(hyperref) removing `\textasciicaron' on input line 191.
+(hyperref) removing `\textasciicaron' on input line 205.
-[1{/usr/local/texlive/2020/texmf-var/fonts/map/pdftex/updmap/pdftex.map}]
[2] (./dokument.aux) )
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+fonts/cm/cmtt8.pfb></usr/local/texlive/2020/texmf-dist/fonts/type1/public/cm-su
+per/sfrm1000.pfb>
+Output written on dokument.pdf (2 pages, 186927 bytes).
SyncTeX written on dokument.synctex.gz.
Transcript written on dokument.log.
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**** The file has been damaged. This may have been caused
diff --git a/mat/domace_naloge/26/ž b/mat/domace_naloge/26/ž
new file mode 100644
index 0000000..04b062a
--- /dev/null
+++ b/mat/domace_naloge/26/ž
@@ -0,0 +1,211 @@
+% !TeX encoding = UTF-8
+% !TeX spellcheck = sl_SI
+% do-vimlatex-onwrite
+\documentclass[]{article}
+\usepackage[utf8]{inputenc}
+\usepackage{etoolbox}
+\usepackage[hidelinks]{hyperref}
+\usepackage{xurl} % da breaka url
+\usepackage[a4paper, total={7in, 10in}]{geometry}
+\usepackage{graphicx}
+\usepackage{hologo}
+\usepackage{amssymb}
+\usepackage{calculator}
+\usepackage{pgfplots}
+\usepackage[inline]{enumitem}
+\usepackage{siunitx}
+\usepackage{multicol}
+\usepackage{tabularcalc}
+\usepackage{amsmath}
+\usepackage{float}
+\usepackage{tasks}
+\usepackage{filecontents}
+\usepackage{textcomp}
+\usepackage{tkz-euclide}
+\usepackage{dirtytalk}
+\usepackage{csquotes}
+\usepackage{listings}
+\usepackage{datetime} % [ddMMyyyy]
+\usepackage{ccicons}
+\usepackage{chemformula}
+\usepackage{gensymb}
+\usepackage[normalem]{ulem}
+\usepackage[slovene]{babel}
+\usepackage{cancel}
+\usepackage{tabularx}
+\usepackage{xcolor}
+\usepackage{colortbl}
+\usepackage{exsheets}
+\usepackage{harpoon}
+\usepackage{readarray}
+\usepackage{forloop}
+\usepackage[nomessages]{fp}
+\usepackage{multirow}
+\newcolumntype{Y}{>{\centering\arraybackslash}X}
+% \usepackage{multienum} % weird with labels
+\usetikzlibrary{calc} %% not really needed............. idk.
+%\usetikzlibrary{external}
+% \usetkzobj{all} % tkz-euclide > 3.02 tega ne potrebuje več (:
+%\tikzexternalize
+\sisetup{output-decimal-marker = {,}, quotient-mode=fraction,per-mode=fraction} % per-mode=symbol
+\newcommand\ddfrac[2]{\frac{\displaystyle #1}{\displaystyle #2}}
+\newcommand{\functionSamples}{100} % fix to fancier value upon release, keep low during development
+\newcommand{\razhroscevanje}{1}
+\definecolor{codegreen}{rgb}{0,0.6,0}
+\definecolor{codered}{rgb}{1,0,0}
+\definecolor{codegray}{rgb}{0.5,0.5,0.5}
+\definecolor{codepurple}{rgb}{0.58,0,0.82}
+\definecolor{backcolour}{rgb}{0.95,0.95,0.92}
+\renewcommand{\dateseparator}{. }
+\settimeformat{hhmmsstime}
+\lstdefinestyle{mystyle}{
+ backgroundcolor=\color{backcolour},
+ commentstyle=\color{codegreen},
+ keywordstyle=\color{magenta},
+ numberstyle=\tiny\color{codegray},
+ stringstyle=\color{codepurple},
+ basicstyle=\ttfamily\footnotesize,
+ breakatwhitespace=false,
+ breaklines=true,
+ captionpos=b,
+ keepspaces=true,
+ numbers=left,
+ numbersep=5pt,
+ showspaces=false,
+ showstringspaces=false,
+ showtabs=false,
+ tabsize=2
+}
+\lstset{style=mystyle}
+\def\@maketitle{%
+ \newpage
+ \null
+ \vskip 2em%
+ \begin{center}%
+ \let \footnote \thanks
+ {\LARGE \@title \par}%
+ \vskip 1.5em%
+ {\large
+ \lineskip .5em%
+ \begin{tabular}[t]{c}% <------
+ \@author% <------ Authors
+ \end{tabular}\par}% <------
+ \vskip 1em%
+ {\large \@date}%
+ \end{center}%
+ \par
+ \vskip 1.5em}
+%opening
+\newcommand{\snovdn}{Skalarni produkt vektorjev }
+\newcommand{\predmdn}{mat}
+\newcommand{\predmkaj}{domace\_naloge}
+\newcommand{\stevilkadn}{26}
+\newcommand{\cm}[1]{\SI{#1}{\centi\meter}}
+\newcommand{\kmh}[1]{\SI{#1}{\kilo\meter\per\hour}}
+\makeatletter
+\newcommand{\xslalph}[1]{\expandafter\@xslalph\csname c@#1\endcsname}
+\newcommand{\@xslalph}[1]{%
+ \ifcase#1\or a\or b\or c\or \v{c}\or d\or e\or f\or g\or h\or i%
+ \or j\or k\or l\or m\or n\or o\or p\or r\or s\or \v{s}%
+ \or t\or u\or v\or z\or \v{z}
+ \else\@ctrerr\fi%
+}
+\AddEnumerateCounter{\xslalph}{\@xslalph}{m}
+\makeatother
+\newcommand\gauss[2]{1/(#2*sqrt(2*pi))*exp(-((x-#1)^2)/(2*#2^2))} % Gauss function, parameters mu and sigma
+\newcommand*\textfrac[2]{
+ \frac{\text{#1}}{\text{#2}}
+}
+\NewTasks[counter-format=\xslalph*),label-format=\bfseries]{primerTasks}(3)
+\newcommand\vektor{\overrightarrow}
+\newcommand{\iic}{I\textsuperscript{2}C }
+\title{%
+ \snovdn --- \stevilkadn. domača naloga
+ \\
+ \large Matematika, Gimnazija Bežigrad}
+\author{\begin{tabular}{rl}
+ \textbf{Profesor:} & prof. Vilko Domajnko \\
+ \textbf{Avtor:} & Anton Luka Šijanec, 2. a
+% \textbf{Avtor:} & Anton Luka Šijanec \\ & Member 2 \\ & Member 3
+\end{tabular}}
+\newcommand\hcancel[2][black]{\setbox0=\hbox{$0#2$}%
+\rlap{\raisebox{.45\ht0}{\textcolor{#1}{\rule{\wd0}{1pt}}}}#2}
+% \everymath{\displaystyle} % https://tex.stackexchange.com/a/32847/212260
+\begin{document}
+\maketitle
+\begin{abstract}
+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
+%\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 $\vektor{AB}\cdot\vektor{AC}$, $\vektor{AB}\cdot\vektor{AD}$,
+ $\vektor{AD}\cdot\vektor{AD}$.
+\end{enumerate}
+\section{Zaključek}
+Ta dokument je informativne narave in se lahko še spreminja. Najnovejša različica, torej PDFji in
+\hologo{LaTeX}\footnote{Za izdelavo dokumenta potrebujete \texttt{TeXLive 2020}.}
+izvorna koda, zgodovina sprememb in prejšnje različice, je na voljo v mojem šolskem Git repozitoriju na
+\url{https://git.sijanec.eu/sijanec/sola-gimb-2} v mapi
+\href{https://git.sijanec/sola-gimb-2/src/branch/master/\predmdn/\predmkaj/\stevilkadn/}{/\predmdn/\predmkaj/\stevilkadn/}. Povezava za ogled zadnje različice tega dokumenta v PDF obliki je \url{http://razor.arnes.si/~asija3/files/sola/gimb/2/\predmdn/\predmkaj/\stevilkadn/dokument.pdf} in/ali \url{https://git.sijanec.eu/sijanec/sola-gimb-2/raw/branch/master/\predmdn/\predmkaj/\stevilkadn/dokument.pdf}.
+\if\razhroscevanje1
+\vfill
+\section*{Razhroščevalne informacije}
+Te informacije so generirane, ker je omogočeno razhroščevanje. Pred objavo dokumenta izklopite razhroščevanje. To naredite tako, da nastavite ukaz \texttt{razhroscevanje} na 0 v začetku dokumenta.
+
+Grafi imajo natančnost \functionSamples\space točk na graf.
+
+Konec generiranja dokumenta: \today\ ob \currenttime\footnote{To ne nakazuje dejanskega časa, ko je bil dokument napisan, temveč čas, ko je bi dokument generiran v PDF/DVI obliko. Isto velja za datum v glavi dokumenta. Če berete direktno iz LaTeX datoteke, bo to vedno današnji datum.}%\input|"date -Ins"
+
+Dokument se je generiral R0qK1KR2 \SI{}{\second}.
+\fi
+% \item $$$$ aaasecgeninsaaa R0qK1KR2
+\end{document}