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authorsijanec <sijanecantonluka@gmail.com>2020-12-20 00:24:00 +0100
committersijanec <sijanecantonluka@gmail.com>2020-12-20 00:24:00 +0100
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tree299ad5426b8a423ea46f3f859067af042c06f078 /mat/domace_naloge/21
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diff --git a/mat/domace_naloge/21/dokument.tex b/mat/domace_naloge/21/dokument.tex
index 52190a6..a2c40e3 100644
--- a/mat/domace_naloge/21/dokument.tex
+++ b/mat/domace_naloge/21/dokument.tex
@@ -129,7 +129,7 @@
\begin{document}
\maketitle
\begin{abstract}
-Ta dokument vsebuje domačo nalogo, ki zajema snov \textit{\snovdn}pri matematiki, in njene rešitve, ki sem jih spisal sam. Kjer je bilo potrebno izbrati neke poljubne naloge, sem jih vedno izbral naključno.
+Ta dokument vsebuje domačo nalogo, ki zajema snov \textit{\snovdn}pri matematiki. Kjer je bilo potrebno izbrati neke poljubne naloge, sem jih vedno izbral naključno.
\end{abstract}
\tableofcontents
\section{Vaje \textit{Matematika 2}: stran 55, štiri naloge 349-361}
@@ -140,11 +140,25 @@ Ta dokument vsebuje domačo nalogo, ki zajema snov \textit{\snovdn}pri matematik
$\Vec{m}=-2\Vec{a}+\frac{3}{2}\Vec{b}+\Vec{c}$ in
$\Vec{n}=-\frac{1}{2}\Vec{a}+\Vec{b}+2\Vec{c}$.
Vektor $2\Vec{m}-\Vec{n}$ zapiši v dani bazi. % 350
- \setcoutner{enumi}{351}
+ $$
+ 2\Vec{m}-\Vec{n}=-\frac{7}{2}\Vec{a}+\frac{1}{3}\Vec{b}
+ $$
+ \setcounter{enumi}{351}
\item Točke $A$, $B$, $C$, $D$ in $E$ ležijo na premici tako, da je
$|AB|:|BC|:|CD|:|DE|=3:2:1:3$. Točki $B$ in $D$ ležita med $A$ in $C$. točka $D$ pa med $B$ in $E$. Naj bo vektor $\Vec{a}=\vektor{BE}$ bazni vektor. Z vektorjem $\Vec{a}$ izrazi vektorje $\vektor{DC}$, $\vektor{AC}$ in $\vektor{DE}$. % 352
+ $$
+ \vektor{DC} = \frac{1}{4}\Vec{a};\ %
+ \vektor{AC} = \frac{5}{3}\Vec{a};\ %
+ \vektor{DE} = \frac{3}{4}\Vec{a}%
+ $$
\item Točka $M$ je razpolovišče daljice $CD$ pravokotnika $ABCD$, vektorja
$\Vec{a}=\vektor{AB}$ in $\Vec{b}=\vektor{AD}$ sta bazna vektorja. Z $\Vec{a}$ in $\Vec{b}$ izrazi $\vektor{AC}$, $\vektor{AM}$, $\vektor{BM}$ in $\vektor{MB}$. % 353
+ $$
+ \vektor{AC} = \Vec{a}+\Vec{b};\ %
+ \vektor{AM} = \frac{1}{2}\Vec{a}+\Vec{b};\ %
+ \vektor{BM} = -\frac{1}{2}\Vec{a}+\Vec{b};\ %
+ \vektor{MB} = \frac{1}{2}\Vec{a}-\Vec{b};\ %
+ $$
\setcounter{enumi}{359}
\item % 360
\begin{multicols}{2}
@@ -153,9 +167,16 @@ Ta dokument vsebuje domačo nalogo, ki zajema snov \textit{\snovdn}pri matematik
\begin{enumerate}[label=\textbf{\xslalph*)}]
\item Dana sta vektorja $\vektor{AB}=\Vec{a}$ in $\vektor{BC}=\Vec{b}$.
Izrazi vektor $\vektor{MK}$ z vektorjema $\Vec{a}$ in $\Vec{b}$.
+ $$
+ \vektor{MK} = \frac{7}{2}\Vec{a}-\frac{1}{4}\Vec{b};
+ $$
\item Naj bosta bazna vektorja $\vektor{LI}=\Vec{u}$ in
$\vektor{LM}=\Vec{v}$. Izrazi vektorja $\vektor{AD}$ in $\vektor{AB}$
z vektorjema $\Vec{u}$ in $\Vec{v}$.
+ $$
+ \vektor{AD} = 3\Vec{u}-2\Vec{v};\ %
+ \vektor{AB} = -3\Vec{u}+6\Vec{v}
+ $$
\end{enumerate}
\vfill\null\columnbreak
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diff --git a/mat/domace_naloge/21/dokument.toc b/mat/domace_naloge/21/dokument.toc
index 3358445..6606006 100644
--- a/mat/domace_naloge/21/dokument.toc
+++ b/mat/domace_naloge/21/dokument.toc
@@ -1,4 +1,4 @@
\babel@toc {slovene}{}
\babel@toc {slovene}{}
\contentsline {section}{\numberline {1}Vaje \textit {Matematika 2}: stran 55, štiri naloge 349-361}{1}{section.1}%
-\contentsline {section}{\numberline {2}Zaključek}{1}{section.2}%
+\contentsline {section}{\numberline {2}Zaključek}{2}{section.2}%
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