<?xml version="1.0"?><!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.1 plus MathML 2.0//EN" "http://www.w3.org/Math/DTD/mathml2/xhtml-math11-f.dtd">
<html xmlns="http://www.w3.org/1999/xhtml" xmlns:m="http://www.w3.org/1998/Math/MathML">
<head>
<OBJECT ID="mathplayer" CLASSID="clsid:32F66A20-7614-11D4-BD11-00104BD3F987"> <!--comment required to prevent this becoming an empty tag--></OBJECT>
<?IMPORT NAMESPACE="m" IMPLEMENTATION="#mathplayer" ?>
<!--
 <script type="text/javascript" src="http://cdn.mathjax.org/mathjax/latest/MathJax.js?config=MML_HTMLorMML" />
-->
<script src="https://polyfill.io/v3/polyfill.min.js?features=es6"></script>
<script id="MathJax-script" src="https://cdn.jsdelivr.net/npm/mathjax@3/es5/tex-mml-chtml.js"></script>


<meta name="GENERATOR" content="TtM 3.72" />
 <style type="text/css">
 div.p { margin-top: 7pt; }
 span.roman {font-family: serif; font-style: normal; font-weight: normal;} 
</style>
<title>A.II.4.42</title>
<link rel="stylesheet" href="/mathdisplay.css" type="text/css" />
</head>
<body>
<div class="feladat">
<b>Feladat: 4.42.</b><br /> <a name="a_ii_linalg_061220_ha_sikaterben_02" /><a href="bib_box.php?mode=sne-s-j-&amp;citation_num=" target="bib_box" onclick="mutat('bib_box.php?mode=sne-s-j-&amp;citation_num='); return false;"></a>Harározzuk meg az <m:math xmlns="http://www.w3.org/1998/Math/MathML">

<m:mrow><m:mi>a</m:mi></m:mrow></m:math> és a <m:math xmlns="http://www.w3.org/1998/Math/MathML">

<m:mrow><m:mi>c</m:mi></m:mrow></m:math> paraméter értékét úgy, hogy az

<m:math xmlns="http://www.w3.org/1998/Math/MathML">

<m:mrow>

<m:munder><m:mrow><m:mi>n</m:mi></m:mrow>

<m:mo stretchy="true">&OverBar;</m:mo></m:munder>

<m:mo stretchy="false">(</m:mo><m:mn>1</m:mn><m:mo>;</m:mo><m:mn>1</m:mn><m:mo>;</m:mo><m:mn>2</m:mn><m:mo stretchy="false">)</m:mo></m:mrow></m:math> vektor merőleges legyen az <m:math xmlns="http://www.w3.org/1998/Math/MathML">

<m:mrow><m:mi>A</m:mi><m:mo stretchy="false">(</m:mo><m:mn>2</m:mn><m:mo>;</m:mo><m:mi>a</m:mi><m:mo>;</m:mo><m:mi>c</m:mi><m:mo stretchy="false">)</m:mo></m:mrow></m:math>,

<m:math xmlns="http://www.w3.org/1998/Math/MathML">

<m:mrow><m:mi>B</m:mi><m:mo stretchy="false">(</m:mo><m:mn>3</m:mn><m:mo>;</m:mo><m:mn>3</m:mn><m:mo>;</m:mo><m:mn>7</m:mn><m:mo stretchy="false">)</m:mo></m:mrow></m:math>, <m:math xmlns="http://www.w3.org/1998/Math/MathML">

<m:mrow><m:mi>C</m:mi><m:mo stretchy="false">(</m:mo><m:mi>c</m:mi><m:mo>;</m:mo><m:mo>-</m:mo><m:mn>1</m:mn><m:mo>;</m:mo><m:mn>4</m:mn><m:mo stretchy="false">)</m:mo></m:mrow></m:math> pontokon átmenő síkra!
<br />&nbsp;<br /></div>
<div class="feladat">
<a name="_solution_a_ii_linalg_061220_ha_sikaterben_02" /><b>Megoldás: 4.42</b><br />
<m:math xmlns="http://www.w3.org/1998/Math/MathML">

<m:mrow><m:mi>c</m:mi><m:mo>=</m:mo><m:mn>13</m:mn></m:mrow></m:math>, <m:math xmlns="http://www.w3.org/1998/Math/MathML">

<m:mrow><m:mi>a</m:mi><m:mo>=</m:mo><m:mo>-</m:mo><m:mn>8</m:mn></m:mrow></m:math>.
<br />&nbsp;<br />&nbsp;<br /></div>
</body></html>
