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1.![1.\\a=\left[\begin{array}{c}-3&-2\end{array}\right] b=\left[\begin{array}{c}4&1\end{array}\right] a.b=?\\a.b=\left[\begin{array}{c}(-3)(4)&(-2)(1)\end{array}\right]=\left[\begin{array}{c}-12&-2\end{array}\right]\\\\2.\\m=2i+3j\\n=xi+6j\\\alpha=\pi/2; x=?\\Jawab=\\cos\alpha = \frac{m.n}{|m||n|}\\cos\pi/2=0=(2)(x)+(3)(6)=0\\2x=-18\\x=-9\\\\3.\\p=\left[\begin{array}{c}-2&-1\end{array}\right];q=\left[\begin{array}{c}1&2\end{array}\right]\\sin\alpha ?\\cos\alpha = \frac{p.q}{|p||q|}\\ > </p><p><img src=](https://tex.z-dn.net/?f=1.%5C%5Ca%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D-3%26-2%5Cend%7Barray%7D%5Cright%5D%20b%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D4%261%5Cend%7Barray%7D%5Cright%5D%20a.b%3D%3F%5C%5Ca.b%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D%28-3%29%284%29%26%28-2%29%281%29%5Cend%7Barray%7D%5Cright%5D%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D-12%26-2%5Cend%7Barray%7D%5Cright%5D%5C%5C%5C%5C2.%5C%5Cm%3D2i%2B3j%5C%5Cn%3Dxi%2B6j%5C%5C%5Calpha%3D%5Cpi%2F2%3B%20x%3D%3F%5C%5CJawab%3D%5C%5Ccos%5Calpha%20%3D%20%5Cfrac%7Bm.n%7D%7B%7Cm%7C%7Cn%7C%7D%5C%5Ccos%5Cpi%2F2%3D0%3D%282%29%28x%29%2B%283%29%286%29%3D0%5C%5C2x%3D-18%5C%5Cx%3D-9%5C%5C%5C%5C3.%5C%5Cp%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D-2%26-1%5Cend%7Barray%7D%5Cright%5D%3Bq%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D1%262%5Cend%7Barray%7D%5Cright%5D%5C%5Csin%5Calpha%20%3F%5C%5Ccos%5Calpha%20%3D%20%5Cfrac%7Bp.q%7D%7B%7Cp%7C%7Cq%7C%7D%5C%5C)