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Given vector $\\boldsymbol{v}$ find the norm. Since putting in square roots is tricky, actually input the square norm, so it's an integer.
", "licence": "Creative Commons Attribution 4.0 International"}, "statement": "You are given the vector $v= \\var{vector(a,b,g)}$ in $\\mathbb{R}^3$.
", "advice": "\\begin{align}
\\|v\\|^2 =v^T \\cdot v &= \\begin{pmatrix}\\var{a} &\\var{b} & \\var{g}\\end{pmatrix} \\begin{pmatrix}\\var{a}\\\\\\var{b}\\\\\\var{g}\\end{pmatrix} \\\\
&= \\simplify[]{{a}^2+{b}^2+{g}^2} \\\\
&= \\var{squarenorm}
\\end{align}
So \\(\\|v\\|=\\sqrt{\\var{squarenorm}}\\).
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