https://peda.net/id/aa2713fc6b2 2019-04-30T12:45:18+03:00 https://peda.net/:static/537/peda.net.logo.bg.svg <div class="license">Tämän sivun lisenssi <a rel="license" href="https://peda.net/info">Peda.net-yleislisenssi</a></div> https://peda.net/id/4544ade26ca 2019-05-02T09:55:46+03:00 a)<br/> <a href="https://peda.net/p/oskari.lahtinen/maa4p-vektorit/2kkk/2122/sieppaa-png#top" title="Sieppaa.PNG"><img src="https://peda.net/p/oskari.lahtinen/maa4p-vektorit/2kkk/2122/sieppaa-png:file/photo/65611c51989a5a8304fd6d6aebc7151a1be0a0e7/Sieppaa.PNG" alt="" title="Sieppaa.PNG" class="inline" loading="lazy"/></a><br/> b) 2019-05-02T09:55:28+03:00 https://peda.net/id/b11effd86ca 2019-05-02T09:44:10+03:00 <img src="https://math-demo.abitti.fi/math.svg?latex=%5Coverline%7BAB%7D%3D8%5Coverline%7B%5Ctext%7Bi%7D%7D%2B4%5Coverline%7B%5Ctext%7Bj%7D%7D" alt="\overline{AB}=8\overline{\text{i}}+4\overline{\text{j}}"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=%5Coverline%7BBC%7D%3D-6%5Coverline%7B%5Ctext%7Bi%7D%7D%2B2%5Coverline%7B%5Ctext%7Bj%7D%7D" alt="\overline{BC}=-6\overline{\text{i}}+2\overline{\text{j}}"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=%5Coverline%7BCA%7D%3D-2%5Coverline%7B%5Ctext%7Bi%7D%7D-6%5Coverline%7B%5Ctext%7Bj%7D%7D" alt="\overline{CA}=-2\overline{\text{i}}-6\overline{\text{j}}"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=%5Cleft%7C%5Coverline%7BAB%7D%5Cright%7C%3D%5Csqrt%7B8%5E2%2B4%5E2%7D%3D4%5Csqrt%7B5%7D%5Cleft(tai%5C%20-4%5Csqrt%7B5%7D%5Cright)" alt="\left|\overline{AB}\right|=\sqrt{8^2+4^2}=4\sqrt{5}\left(tai\ -4\sqrt{5}\right)"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=%5Cleft%7C%5Coverline%7BBC%7D%5Cright%7C%3D%5Csqrt%7B6%5E2%2B2%5E2%7D%3D2%5Csqrt%7B10%7D%5Cleft(tai%5C%202%5Csqrt%7B10%7D%5Cright)" alt="\left|\overline{BC}\right|=\sqrt{6^2+2^2}=2\sqrt{10}\left(tai\ 2\sqrt{10}\right)"/><br/> <div><img src="https://math-demo.abitti.fi/math.svg?latex=%5Cleft%7CCA%5Cright%7C%3D%5Csqrt%7B2%5E2%2B6%5E2%7D%3D2%5Csqrt%7B10%7D%5Cleft(tai%5C%202%5Csqrt%7B10%7D%5Cright)" alt="\left|CA\right|=\sqrt{2^2+6^2}=2\sqrt{10}\left(tai\ 2\sqrt{10}\right)"/></div> <div>kolmio on tasakylkinen, koska sillä on kaksi yhtäpitkää sivua</div> 2019-05-02T09:44:10+03:00 https://peda.net/id/ee49687c6ca 2019-05-02T09:38:43+03:00 <img src="https://math-demo.abitti.fi/math.svg?latex=%5Cleft%7C%5Coverline%7Ba%7D%5Cright%7C%3D%5Csqrt%7B6%5E2%2B%5Cleft(-8%5Cright)%5E2%7D%3D10" alt="\left|\overline{a}\right|=\sqrt{6^2+\left(-8\right)^2}=10"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=%5Coverline%7Ba%7D%5E0%3D%5Cfrac%7B%5Coverline%7Ba%7D%7D%7B%5Cleft%7C%5Coverline%7Ba%7D%5Cright%7C%7D%3D%5Cfrac%7B6%5Coverline%7B%5Ctext%7Bi%7D%7D-8%5Coverline%7B%5Ctext%7Bj%7D%7D%7D%7B10%7D%3D%5Cfrac%7B3%7D%7B5%7D%5Coverline%7B%5Ctext%7Bi%7D%7D-%5Cfrac%7B4%7D%7B5%7D%5Coverline%7B%5Ctext%7Bj%7D%7D" alt="\overline{a}^0=\frac{\overline{a}}{\left|\overline{a}\right|}=\frac{6\overline{\text{i}}-8\overline{\text{j}}}{10}=\frac{3}{5}\overline{\text{i}}-\frac{4}{5}\overline{\text{j}}"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=%5Cleft%7C%5Coverline%7Bb%7D%5Cright%7C%3D%5Csqrt%7B%5Cleft(-5%5Cright)%5E2%2B12%5E2%7D%3D13" alt="\left|\overline{b}\right|=\sqrt{\left(-5\right)^2+12^2}=13"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=%5Coverline%7Bb%7D%5E0%3D%5Cfrac%7B%5Coverline%7Bb%7D%7D%7B%5Cleft%7C%5Coverline%7Bb%7D%5Cright%7C%7D%3D%5Cfrac%7B-5%5Coverline%7B%5Ctext%7Bi%7D%7D%2B12%5Coverline%7B%5Ctext%7Bj%7D%7D%7D%7B13%7D%3D-%5Cfrac%7B5%7D%7B13%7D%5Coverline%7B%5Ctext%7Bi%7D%7D%2B%5Cfrac%7B12%7D%7B13%7D%5Coverline%7B%5Ctext%7Bj%7D%7D" alt="\overline{b}^0=\frac{\overline{b}}{\left|\overline{b}\right|}=\frac{-5\overline{\text{i}}+12\overline{\text{j}}}{13}=-\frac{5}{13}\overline{\text{i}}+\frac{12}{13}\overline{\text{j}}"/><br/> <div><img src="https://math-demo.abitti.fi/math.svg?latex=%5Coverline%7BAP%7D%3D5%5Coverline%7Ba%7D%5E0-26%5Coverline%7Bb%7D%5E0%3D3%5Coverline%7B%5Ctext%7Bi%7D%7D-5%5Coverline%7B%5Ctext%7Bj%7D%7D%2B10%5Coverline%7B%5Ctext%7Bi%7D%7D-24%5Coverline%7B%5Ctext%7Bj%7D%7D%3D13%5Coverline%7B%5Ctext%7Bi%7D%7D-29%5Coverline%7B%5Ctext%7Bj%7D%7D" alt="\overline{AP}=5\overline{a}^0-26\overline{b}^0=3\overline{\text{i}}-5\overline{\text{j}}+10\overline{\text{i}}-24\overline{\text{j}}=13\overline{\text{i}}-29\overline{\text{j}}"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=%5Coverline%7BOA%7D%2B%5Coverline%7BAP%7D%3D-1%5Coverline%7B%5Ctext%7Bi%7D%7D%2B1%5Coverline%7B%5Ctext%7Bj%7D%7D%2B13%5Coverline%7B%5Ctext%7Bi%7D%7D-29%5Coverline%7B%5Ctext%7Bj%7D%7D%3D12%5Coverline%7B%5Ctext%7Bi%7D%7D-28%5Coverline%7B%5Ctext%7Bj%7D%7D" alt="\overline{OA}+\overline{AP}=-1\overline{\text{i}}+1\overline{\text{j}}+13\overline{\text{i}}-29\overline{\text{j}}=12\overline{\text{i}}-28\overline{\text{j}}"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=P%3D%5Cleft(12%7B%2C%7D%5C%20-28%5Cright)" alt="P=\left(12{,}\ -28\right)"/></div> 2019-05-02T09:38:43+03:00 https://peda.net/id/b029667a6ca 2019-05-02T09:22:40+03:00 <img src="https://math-demo.abitti.fi/math.svg?latex=%5Cleft%7C%5Coverline%7Ba%7D%5Cright%7C%3D%5Csqrt%7B%5Cfrac%7B1%7D%7B9%7D%2B%5Cfrac%7B1%7D%7B16%7D%7D%3D%5Cfrac%7B5%7D%7B12%7D%5Cleft(tai%5C%20-%5Cfrac%7B5%7D%7B12%7D%5Cright)" alt="\left|\overline{a}\right|=\sqrt{\frac{1}{9}+\frac{1}{16}}=\frac{5}{12}\left(tai\ -\frac{5}{12}\right)"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=%5Coverline%7Ba%7D%5E0%3D%5Cfrac%7B%5Coverline%7Ba%7D%7D%7B%5Cleft%7C%5Coverline%7Ba%7D%5Cright%7C%7D%3D%5Cfrac%7B%5Cfrac%7B1%7D%7B3%7D%5Coverline%7B%5Ctext%7Bi%7D%7D-%5Cfrac%7B1%7D%7B4%7D%5Coverline%7B%5Ctext%7Bj%7D%7D%7D%7B%5Cfrac%7B5%7D%7B12%7D%7D%3D%5Cfrac%7B4%7D%7B5%7D%5Coverline%7B%5Ctext%7Bi%7D%7D-%5Cfrac%7B3%7D%7B5%7D%5Coverline%7B%5Ctext%7Bj%7D%7D" alt="\overline{a}^0=\frac{\overline{a}}{\left|\overline{a}\right|}=\frac{\frac{1}{3}\overline{\text{i}}-\frac{1}{4}\overline{\text{j}}}{\frac{5}{12}}=\frac{4}{5}\overline{\text{i}}-\frac{3}{5}\overline{\text{j}}"/> <div><img src="https://math-demo.abitti.fi/math.svg?latex=%5Coverline%7Bv%7D%3D-6%5Coverline%7Ba%7D%5E0%3D-6%5Cleft(%5Cfrac%7B4%7D%7B5%7D%5Coverline%7B%5Ctext%7Bi%7D%7D-%5Cfrac%7B3%7D%7B5%7D%5Coverline%7B%5Ctext%7Bj%7D%7D%5Cright)%3D-%5Cfrac%7B24%7D%7B5%7D%2B%5Cfrac%7B18%7D%7B5%7D%3D-4%5C%20%5Cfrac%7B4%7D%7B5%7D%5Coverline%7B%5Ctext%7Bi%7D%7D%2B3%5C%20%5Cfrac%7B3%7D%7B5%7D%5Coverline%7B%5Ctext%7Bj%7D%7D" alt="\overline{v}=-6\overline{a}^0=-6\left(\frac{4}{5}\overline{\text{i}}-\frac{3}{5}\overline{\text{j}}\right)=-\frac{24}{5}+\frac{18}{5}=-4\ \frac{4}{5}\overline{\text{i}}+3\ \frac{3}{5}\overline{\text{j}}"/></div> 2019-05-02T09:22:40+03:00 https://peda.net/id/891515e66c9 2019-05-02T09:03:21+03:00 a)<br/> <a href="https://peda.net/p/oskari.lahtinen/maa4p-vektorit/2kkk/205/sieppaa-png#top" title="Sieppaa.PNG"><img src="https://peda.net/p/oskari.lahtinen/maa4p-vektorit/2kkk/205/sieppaa-png:file/photo/dc15123448d8ebab6d68d4f411a4cfeddfdafe36/Sieppaa.PNG" alt="" title="Sieppaa.PNG" class="inline" loading="lazy"/></a><br/> b)<br/> <img src="https://math-demo.abitti.fi/math.svg?latex=%5Coverline%7BOB%7D%3D%5Coverline%7BOA%7D%2B%5Coverline%7BAB%7D%3D-3%5Coverline%7B%5Ctext%7Bi%7D%7D%2B7%5Coverline%7B%5Ctext%7Bj%7D%7D%2B8%5Coverline%7B%5Ctext%7Bi%7D%7D-2%5Coverline%7B%5Ctext%7Bj%7D%7D%3D5%5Coverline%7B%5Ctext%7Bi%7D%7D%2B5%5Coverline%7B%5Ctext%7Bj%7D%7D" alt="\overline{OB}=\overline{OA}+\overline{AB}=-3\overline{\text{i}}+7\overline{\text{j}}+8\overline{\text{i}}-2\overline{\text{j}}=5\overline{\text{i}}+5\overline{\text{j}}"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=B%3D%5Cleft(5%7B%2C%7D%5C%205%5Cright)" alt="B=\left(5{,}\ 5\right)"/><br/> c)<br/> <div><img src="https://math-demo.abitti.fi/math.svg?latex=%5Cleft%7C%5Coverline%7BOB%7D%5Cright%7C%3D%5Csqrt%7B5%5E2%2B5%5E2%7D%3D7%7B%2C%7D07107...cm%5Capprox7cm" alt="\left|\overline{OB}\right|=\sqrt{5^2+5^2}=7{,}07107...cm\approx7cm"/></div> <div> </div> 2019-05-02T09:00:06+03:00 https://peda.net/id/fea768aa6c9 2019-05-02T08:56:14+03:00 a)<br/> <img src="https://math-demo.abitti.fi/math.svg?latex=%5Coverline%7Ba%7D-%5Coverline%7Bb%7D%3D%5Cleft(3%5Coverline%7B%5Ctext%7Bi%7D%7D-5%5Coverline%7B%5Ctext%7Bj%7D%7D%5Cright)-%5Cleft(-2%5Coverline%7B%5Ctext%7Bi%7D%7D%2B7%5Coverline%7B%5Ctext%7Bj%7D%7D%5Cright)" alt="\overline{a}-\overline{b}=\left(3\overline{\text{i}}-5\overline{\text{j}}\right)-\left(-2\overline{\text{i}}+7\overline{\text{j}}\right)"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=5%5Coverline%7B%5Ctext%7Bi%7D%7D-12%5Coverline%7B%5Ctext%7Bj%7D%7D" alt="5\overline{\text{i}}-12\overline{\text{j}}"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=%5Cleft%7C%5Coverline%7Ba%7D-%5Coverline%7Bb%7D%5Cright%7C%5C%20voidaan%5C%20laskea%5C%20Pythagoraan%5C%20lauseella" alt="\left|\overline{a}-\overline{b}\right|\ voidaan\ laskea\ Pythagoraan\ lauseella"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=x%5E2%3D5%5E2%2B12%5E2" alt="x^2=5^2+12^2"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=x%5E2%3D169%5C%20%5Cparallel%5Csqrt%7B%20%7D" alt="x^2=169\ \parallel\sqrt{ }"/><br/> <div><img src="https://math-demo.abitti.fi/math.svg?latex=x%3D13%5C%20%5Cleft(tai%5C%20-13%5Cright)" alt="x=13\ \left(tai\ -13\right)"/></div> <div>b)<br/> <img src="https://math-demo.abitti.fi/math.svg?latex=2%5Coverline%7Ba%7D%2B%5Coverline%7Bb%7D%3D2%5Cleft(3%5Coverline%7B%5Ctext%7Bi%7D%7D-5%5Coverline%7B%5Ctext%7Bj%7D%7D%5Cright)%2B%5Cleft(-2%5Coverline%7B%5Ctext%7Bi%7D%7D%2B7%5Coverline%7B%5Ctext%7Bj%7D%7D%5Cright)" alt="2\overline{a}+\overline{b}=2\left(3\overline{\text{i}}-5\overline{\text{j}}\right)+\left(-2\overline{\text{i}}+7\overline{\text{j}}\right)"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=4%5Coverline%7B%5Ctext%7Bi%7D%7D-3%5Coverline%7B%5Ctext%7Bj%7D%7D" alt="4\overline{\text{i}}-3\overline{\text{j}}"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=%5Cleft%7C2%5Coverline%7Ba%7D%2B%5Coverline%7Bb%7D%5Cright%7C%5C%20voidaan%5C%20laskea%5C%20Pythagoraan%5C%20lauseella" alt="\left|2\overline{a}+\overline{b}\right|\ voidaan\ laskea\ Pythagoraan\ lauseella"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=x%5E2%3D4%5E2%2B3%5E2" alt="x^2=4^2+3^2"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=x%5E2%3D25%5C%20%5Cparallel%5Csqrt%7B%20%7D" alt="x^2=25\ \parallel\sqrt{ }"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=x%3D5%5C%20%5Cleft(tai%5C%20-5%5Cright)" alt="x=5\ \left(tai\ -5\right)"/></div> 2019-05-02T08:56:14+03:00 https://peda.net/id/00d44bf86c9 2019-05-02T08:49:08+03:00 a)<br/> <img src="https://math-demo.abitti.fi/math.svg?latex=%5Coverline%7BOA%7D%3D4%5Coverline%7B%5Ctext%7Bi%7D%7D%2B2%5Coverline%7B%5Ctext%7Bj%7D%7D" alt="\overline{OA}=4\overline{\text{i}}+2\overline{\text{j}}"/><br/> <div>b)<br/> <img src="https://math-demo.abitti.fi/math.svg?latex=B%3D%5Cleft(-5%7B%2C%7D%5C%203%5Cright)" alt="B=\left(-5{,}\ 3\right)"/></div> 2019-05-02T08:49:08+03:00 https://peda.net/id/ce061a446c9 2019-05-02T08:47:45+03:00 <div>Piste AB jakaa kuvan janan AB suhteessa 2:1</div> <div>a) muodosta vektori AB</div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=%5Coverline%7BAB%7D%3D6-%5Cleft(-2%5Cright)i%2B1-4j" alt="\overline{AB}=6-\left(-2\right)i+1-4j"/></div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=%5Coverline%7BAB%7D%3D8%5Coverline%7B%5Ctext%7Bi%7D%7D-3%5Coverline%7B%5Ctext%7Bj%7D%7D" alt="\overline{AB}=8\overline{\text{i}}-3\overline{\text{j}}"/></div> <div> </div> <div>b) määritä piste P ensin ilman teknisiä apuvälineitä</div> <div>Piste P jakaa janan AB suhteessa 2:1 eli <img src="https://math-demo.abitti.fi/math.svg?latex=%5Coverline%7BAP%7D%3D%5Cfrac%7B2%7D%7B3%7D%5Coverline%7BAB%7D" alt="\overline{AP}=\frac{2}{3}\overline{AB}"/></div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=%5Coverline%7BOP%7D%3D%5Coverline%7BOA%7D%2B%5Coverline%7BAP%7D%3D%5Coverline%7BOA%7D%2B%5Cfrac%7B2%7D%7B3%7D%5Coverline%7BAB%7D%3D-2%5Coverline%7B%5Ctext%7Bi%7D%7D%2B4%5Coverline%7B%5Ctext%7Bj%7D%7D%2B%5Cfrac%7B16%7D%7B3%7D%5Coverline%7B%5Ctext%7Bi%7D%7D-2%5Coverline%7B%5Ctext%7Bj%7D%7D" alt="\overline{OP}=\overline{OA}+\overline{AP}=\overline{OA}+\frac{2}{3}\overline{AB}=-2\overline{\text{i}}+4\overline{\text{j}}+\frac{16}{3}\overline{\text{i}}-2\overline{\text{j}}"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=3%5Cfrac%7B1%7D%7B3%7D%5Coverline%7B%5Ctext%7Bi%7D%7D%2B2%5Coverline%7B%5Ctext%7Bj%7D%7D" alt="3\frac{1}{3}\overline{\text{i}}+2\overline{\text{j}}"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=piste%5C%20P%5C%20%3D%5C%20%5Cleft(3%5C%20%5Cfrac%7B1%7D%7B3%7D%7B%2C%7D%5C%202%5Cright)" alt="piste\ P\ =\ \left(3\ \frac{1}{3}{,}\ 2\right)"/><br/> <a href="https://peda.net/p/oskari.lahtinen/maa4p-vektorit/2kkk/207/sieppaa-png#top" title="Sieppaa.PNG"><img src="https://peda.net/p/oskari.lahtinen/maa4p-vektorit/2kkk/207/sieppaa-png:file/photo/92627fbdb8cff2464da71686678a0a0a94f9155a/Sieppaa.PNG" alt="" title="Sieppaa.PNG" class="inline" loading="lazy"/></a></div> 2019-05-02T08:47:43+03:00 https://peda.net/id/88f975c46b3 2019-04-30T14:10:43+03:00 a)<br/> <img src="https://math-demo.abitti.fi/math.svg?latex=%5Cleft%7C%5Coverline%7Bu%7D%5Cright%7C%5E2%3D3%5E2%2B4%5E2" alt="\left|\overline{u}\right|^2=3^2+4^2"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=%5Cleft%7C%5Coverline%7Bu%7D%5Cright%7C%5E2%3D25%5C%20%5Cparallel%5Csqrt%7B%20%7D" alt="\left|\overline{u}\right|^2=25\ \parallel\sqrt{ }"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=%5Cleft%7C%5Coverline%7Bu%7D%5Cright%7C%3D5%5C%20%5Cleft(tai%5C%20-5%5Cright)" alt="\left|\overline{u}\right|=5\ \left(tai\ -5\right)"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=%5Coverline%7Bu%7D%5E0%3D%5Cfrac%7B%5Coverline%7Bu%7D%7D%7B%5Cleft%7C%5Coverline%7Bu%7D%5Cright%7C%7D" alt="\overline{u}^0=\frac{\overline{u}}{\left|\overline{u}\right|}"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=%5Coverline%7Bu%7D%5E0%3D%5Cfrac%7B3%5Coverline%7B%5Ctext%7Bi%7D%7D-4%5Coverline%7B%5Ctext%7Bj%7D%7D%7D%7B5%7D%3D%5Cfrac%7B3%7D%7B5%7D%5Coverline%7B%5Ctext%7Bi%7D%7D-%5Cfrac%7B4%7D%7B5%7D%5Coverline%7B%5Ctext%7Bj%7D%7D" alt="\overline{u}^0=\frac{3\overline{\text{i}}-4\overline{\text{j}}}{5}=\frac{3}{5}\overline{\text{i}}-\frac{4}{5}\overline{\text{j}}"/><br/> b)<br/> <img src="https://math-demo.abitti.fi/math.svg?latex=%5Coverline%7Bv%7D%3D-15%5Coverline%7Bu%7D%5E0%3D-15%5Ccdot%5Cleft(%5Cfrac%7B3%7D%7B5%7D%5Coverline%7B%5Ctext%7Bi%7D%7D-%5Cfrac%7B4%7D%7B5%7D%5Coverline%7B%5Ctext%7Bj%7D%7D%5Cright)%3D-9%5Coverline%7B%5Ctext%7Bi%7D%7D%2B12%5Coverline%7B%5Ctext%7Bj%7D%7D" alt="\overline{v}=-15\overline{u}^0=-15\cdot\left(\frac{3}{5}\overline{\text{i}}-\frac{4}{5}\overline{\text{j}}\right)=-9\overline{\text{i}}+12\overline{\text{j}}"/><br/> c)<br/> <a href="https://peda.net/p/oskari.lahtinen/maa4p-vektorit/2kkk/202/sieppaa-png#top" title="Sieppaa.PNG"><img src="https://peda.net/p/oskari.lahtinen/maa4p-vektorit/2kkk/202/sieppaa-png:file/photo/9d0bd336720ac6b516dbbcf84f0e68315b04530f/Sieppaa.PNG" alt="" title="Sieppaa.PNG" class="inline" loading="lazy"/></a> 2019-04-30T14:10:17+03:00 https://peda.net/id/e120b9ee6b3 2019-04-30T13:58:35+03:00 <img src="https://math-demo.abitti.fi/math.svg?latex=%5Coverline%7Ba%7D%3D5%5Coverline%7B%5Ctext%7Bi%7D%7D-2%5Coverline%7B%5Ctext%7Bj%7D%7D" alt="\overline{a}=5\overline{\text{i}}-2\overline{\text{j}}"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=%5Coverline%7Bb%7D%3D4%5Coverline%7B%5Ctext%7Bi%7D%7D" alt="\overline{b}=4\overline{\text{i}}"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=%5Coverline%7Bc%7D%3D-2%5Coverline%7B%5Ctext%7Bj%7D%7D" alt="\overline{c}=-2\overline{\text{j}}"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=%5Cleft%7C%5Coverline%7Bb%7D%5Cright%7C%3D4" alt="\left|\overline{b}\right|=4"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=%5Cleft%7C%5Coverline%7Bc%7D%5Cright%7C%3D2" alt="\left|\overline{c}\right|=2"/><br/> <br/> b)<br/> <span class="small"><a href="https://peda.net/p/oskari.lahtinen/maa4p-vektorit/2kkk/201/sieppaa-png#top" title="Sieppaa.PNG"><img src="https://peda.net/p/oskari.lahtinen/maa4p-vektorit/2kkk/201/sieppaa-png:file/photo/49d75b428025624f903c7db1f802f10939976f98/Sieppaa.PNG" alt="" title="Sieppaa.PNG" class="inline" loading="lazy"/></a></span> 2019-04-30T13:58:26+03:00