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\\mat{1\\\\2\\\\2\\\\1\\\\2}$\n+\t\t\t\\item   $\\frac{1}{2}\\mat{2\\\\5\\\\4} \\cdot \\mat{1\\\\0\\\\-1}$\n \t\t\\end{enumerate}\n-\t\t\\begin{solution}\n-\t\tSolutions to the parts\n+\t\t\\prob Compute the length of the following vectors.\n+\t\t\\begin{enumerate}\n+\t\t\t\\item $\\mat{2\\\\0}$\n+\t\t\t\\item $\\mat{1\\\\2\\\\3}$\n+\t\t\t\\item $4\\mat{5\\\\-6\\\\15\\\\2}$\n+\t\t\t\\item $\\mat{-\\frac{\\sqrt{10}}{10}\\\\-\\frac{9\\sqrt{10}}{50}\\\\\\frac{12\\sqrt{10}}{50}}$\n+\t\t\t\\item $\\mat{\\frac{1}{3}\\\\\\frac{\\sqrt{3}}{3}\\\\0\\\\-\\frac{1}{3}\\\\\\frac{2}{3}}$\n+\t\t\\end{enumerate}\n+\t\t\\prob Find the cosine of the angle between the following vectors.\n+\t\t\\begin{enumerate}\n+\t\t\t\\item $\\mat{1\\\\0}$ and $\\mat{-3\\\\4}$\n+\t\t\t\\item $\\mat{1\\\\0\\\\1}$ and $\\mat{-5\\\\4\\\\-3}$\n+\t\t\t\\item $\\mat{1\\\\2\\\\3}$ and $\\mat{-1\\\\-1\\\\2}$\n+\t\t\t\\item $\\mat{2\\\\4\\\\6}$ and $\\mat{\\frac{3}{2}\\\\3\\\\\\frac{9}{2}}$\n+\t\t\t\\item 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