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<title>1.3 Vektorin kertominen luvulla</title>
<id>https://peda.net/id/066f28dc671</id>
<updated>2019-04-25T08:21:48+03:00</updated>
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<rights type="html">&lt;div class=&quot;license&quot;&gt;Tämän sivun lisenssi &lt;a rel=&quot;license&quot; href=&quot;https://peda.net/info&quot;&gt;Peda.net-yleislisenssi&lt;/a&gt;&lt;/div&gt;&#10;</rights>

<entry>
<title>152</title>
<id>https://peda.net/id/fcb52960672</id>
<updated>2019-04-25T09:54:35+03:00</updated>
<link href="https://peda.net/p/oskari.lahtinen/maa4p-vektorit/1vkl/152#top" />
<content type="html">a)&lt;br/&gt;&#10;0,4&lt;br/&gt;&#10;b)&lt;br/&gt;&#10;4</content>
<published>2019-04-25T09:54:35+03:00</published>
</entry>

<entry>
<title>149</title>
<id>https://peda.net/id/a4b8ba06672</id>
<updated>2019-04-25T09:52:08+03:00</updated>
<link href="https://peda.net/p/oskari.lahtinen/maa4p-vektorit/1vkl/149#top" />
<content type="html">a)&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=%5Coverline%7BAB%7D%3D%5Coverline%7Ba%7D%2B%5Coverline%7Bb%7D&quot; alt=&quot;\overline{AB}=\overline{a}+\overline{b}&quot;/&gt;&lt;br/&gt;&#10;b)&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=%5Coverline%7BAP%7D%3D%5Cfrac%7B2%7D%7B3%7D%5Coverline%7Ba%7D%2B%5Cfrac%7B2%7D%7B3%7D%5Coverline%7Bb%7D&quot; alt=&quot;\overline{AP}=\frac{2}{3}\overline{a}+\frac{2}{3}\overline{b}&quot;/&gt;&lt;br/&gt;&#10;c)&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=%5Coverline%7BOP%7D%3D%5Cfrac%7B1%7D%7B3%7D%5Coverline%7Ba%7D%2B%5Cfrac%7B2%7D%7B3%7D%5Coverline%7Bb%7D&quot; alt=&quot;\overline{OP}=\frac{1}{3}\overline{a}+\frac{2}{3}\overline{b}&quot;/&gt;</content>
<published>2019-04-25T09:52:08+03:00</published>
</entry>

<entry>
<title>150</title>
<id>https://peda.net/id/134bc37e672</id>
<updated>2019-04-25T09:48:04+03:00</updated>
<link href="https://peda.net/p/oskari.lahtinen/maa4p-vektorit/1vkl/150#top" />
<content type="html">a)&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=%5Coverline%7BBP%7D%3D%5Cfrac%7B3%7D%7B5%7D%5Coverline%7BBC%7D&quot; alt=&quot;\overline{BP}=\frac{3}{5}\overline{BC}&quot;/&gt;&lt;br/&gt;&#10;b)&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=%5Coverline%7BAP%7D%3D%5Cfrac%7B2%7D%7B5%7D%5Coverline%7Ba%7D%2B%5Cfrac%7B3%7D%7B5%7D%5Coverline%7Bb%7D&quot; alt=&quot;\overline{AP}=\frac{2}{5}\overline{a}+\frac{3}{5}\overline{b}&quot;/&gt;</content>
<published>2019-04-25T09:48:04+03:00</published>
</entry>

<entry>
<title>148</title>
<id>https://peda.net/id/b430e860672</id>
<updated>2019-04-25T09:45:24+03:00</updated>
<link href="https://peda.net/p/oskari.lahtinen/maa4p-vektorit/1vkl/148#top" />
<content type="html">a)&lt;br/&gt;&#10;3:2&lt;br/&gt;&#10;b)&lt;br/&gt;&#10;2:5&lt;br/&gt;&#10;c)&lt;br/&gt;&#10;1:3</content>
<published>2019-04-25T09:45:24+03:00</published>
</entry>

<entry>
<title>147</title>
<id>https://peda.net/id/7843a13a672</id>
<updated>2019-04-25T09:43:44+03:00</updated>
<link href="https://peda.net/p/oskari.lahtinen/maa4p-vektorit/1vkl/147#top" />
<content type="html">a)&lt;br/&gt;&#10;2&lt;br/&gt;&#10;b)&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=%5Coverline%7BAP%7D%3D%5Cfrac%7B1%7D%7B4%7D%5Coverline%7BAB%7D&quot; alt=&quot;\overline{AP}=\frac{1}{4}\overline{AB}&quot;/&gt;&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=%5Coverline%7BPB%7D%3D%5Cfrac%7B3%7D%7B4%7D%5Coverline%7BAB%7D&quot; alt=&quot;\overline{PB}=\frac{3}{4}\overline{AB}&quot;/&gt;&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=%5Coverline%7BBP%7D%3D-%5Cfrac%7B3%7D%7B4%7D%5Coverline%7BAB%7D&quot; alt=&quot;\overline{BP}=-\frac{3}{4}\overline{AB}&quot;/&gt;</content>
<published>2019-04-25T09:43:44+03:00</published>
</entry>

<entry>
<title>146</title>
<id>https://peda.net/id/b254890e672</id>
<updated>2019-04-25T09:39:52+03:00</updated>
<link href="https://peda.net/p/oskari.lahtinen/maa4p-vektorit/1vkl/146#top" />
<content type="html">&lt;span class=&quot;medium&quot;&gt;&lt;a href=&quot;https://peda.net/p/oskari.lahtinen/maa4p-vektorit/1vkl/146/sieppaa-png#top&quot; title=&quot;Sieppaa.PNG&quot;&gt;&lt;img src=&quot;https://peda.net/p/oskari.lahtinen/maa4p-vektorit/1vkl/146/sieppaa-png:file/photo/e5c58432fa90d38a5e17b0c87cfbad0f92b54a24/Sieppaa.PNG&quot; alt=&quot;&quot; title=&quot;Sieppaa.PNG&quot; class=&quot;inline&quot; loading=&quot;lazy&quot;/&gt;&lt;/a&gt;&lt;/span&gt;&lt;br/&gt;&#10;&lt;span class=&quot;medium&quot;&gt;&lt;a href=&quot;https://peda.net/p/oskari.lahtinen/maa4p-vektorit/1vkl/146/sieppaa-png2#top&quot; title=&quot;Sieppaa.PNG&quot;&gt;&lt;img src=&quot;https://peda.net/p/oskari.lahtinen/maa4p-vektorit/1vkl/146/sieppaa-png2:file/photo/966abb307f4417e5b449fab5c23ea5a287331cea/Sieppaa.PNG&quot; alt=&quot;&quot; title=&quot;Sieppaa.PNG&quot; class=&quot;inline&quot; loading=&quot;lazy&quot;/&gt;&lt;/a&gt;&lt;/span&gt;&lt;br/&gt;&#10;&lt;span class=&quot;medium&quot;&gt;&lt;a href=&quot;https://peda.net/p/oskari.lahtinen/maa4p-vektorit/1vkl/146/sieppaa-png3#top&quot; title=&quot;Sieppaa.PNG&quot;&gt;&lt;img src=&quot;https://peda.net/p/oskari.lahtinen/maa4p-vektorit/1vkl/146/sieppaa-png3:file/photo/c4016e9d329029f13e26eb83710a72e10f21ac01/Sieppaa.PNG&quot; alt=&quot;&quot; title=&quot;Sieppaa.PNG&quot; class=&quot;inline&quot; loading=&quot;lazy&quot;/&gt;&lt;/a&gt;&lt;/span&gt;</content>
<published>2019-04-25T09:31:02+03:00</published>
</entry>

<entry>
<title>142</title>
<id>https://peda.net/id/d122e5f2672</id>
<updated>2019-04-25T09:24:44+03:00</updated>
<link href="https://peda.net/p/oskari.lahtinen/maa4p-vektorit/1vkl/142#top" />
<content type="html">a)&lt;br/&gt;&#10;A 1 3&lt;br/&gt;&#10;b)&lt;br/&gt;&#10;B 1 3&lt;br/&gt;&#10;c)&lt;br/&gt;&#10;C 2 3&lt;br/&gt;&#10;d)&lt;br/&gt;&#10;D 2 3</content>
<published>2019-04-25T09:24:44+03:00</published>
</entry>

<entry>
<title>145</title>
<id>https://peda.net/id/cc79750a671</id>
<updated>2019-04-25T09:03:08+03:00</updated>
<link href="https://peda.net/p/oskari.lahtinen/maa4p-vektorit/1vkl/145#top" />
<content type="html">vektori PQ&lt;br/&gt;&#10;a) pisteen C kautta&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=%5Coverline%7BPQ%7D%3D%5Cfrac%7B%5Coverline%7Bb%7D%7D%7B2%7D%2B-%5Cfrac%7B%5Coverline%7Ba%7D%7D%7B2%7D&quot; alt=&quot;\overline{PQ}=\frac{\overline{b}}{2}+-\frac{\overline{a}}{2}&quot;/&gt;&lt;br/&gt;&#10;b) pisteen A kautta&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=%5Coverline%7BPQ%7D%3D-%5Cfrac%7B%5Coverline%7Bb%7D%7D%7B2%7D-%5Coverline%7Ba%7D%2B%5Coverline%7Bb%7D%2B%5Cfrac%7B%5Coverline%7Ba%7D%7D%7B2%7D&quot; alt=&quot;\overline{PQ}=-\frac{\overline{b}}{2}-\overline{a}+\overline{b}+\frac{\overline{a}}{2}&quot;/&gt;</content>
<published>2019-04-25T09:03:08+03:00</published>
</entry>

<entry>
<title>143</title>
<id>https://peda.net/id/b41f51c0671</id>
<updated>2019-04-25T08:48:08+03:00</updated>
<link href="https://peda.net/p/oskari.lahtinen/maa4p-vektorit/1vkl/143#top" />
<content type="html">&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=%5Cleft%7C%5Coverline%7Bu%7D%5Cright%7C%3D5&quot; alt=&quot;\left|\overline{u}\right|=5&quot;/&gt;&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=%5Coverline%7Bv%7D%3D0%7B%2C%7D5%5Coverline%7Bu%7D%3D2%7B%2C%7D5&quot; alt=&quot;\overline{v}=0{,}5\overline{u}=2{,}5&quot;/&gt;&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=%5Coverline%7Bv%7D%3D-2%5Coverline%7Bu%7D%3D10&quot; alt=&quot;\overline{v}=-2\overline{u}=10&quot;/&gt;&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=%5Coverline%7Bv%7D%3D%5Cfrac%7B2%7D%7B3%7D%5Coverline%7Bu%7D%3D%5Cfrac%7B10%7D%7B3%7D%3D3%5C%20%5Cfrac%7B1%7D%7B3%7D&quot; alt=&quot;\overline{v}=\frac{2}{3}\overline{u}=\frac{10}{3}=3\ \frac{1}{3}&quot;/&gt;</content>
<published>2019-04-25T08:48:08+03:00</published>
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