I was wondering if someone could step me through the following question: Express v= (2, 1, -3) as a linear combination of i, j and k and find the norm of v.
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If $\displaystyle \overrightarrow{v}=(a,b,c)$, then $\displaystyle \overrightarrow{v}=a\cdot\overrightarrow{i}+b\cdot \overrightarrow{j}+c\cdot\overrightarrow{k}$ and $\displaystyle |\overrightarrow{v}|=\sqrt{a^2+b^2+c^2}$
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