Finding the Norm

**asaver** · August 12th 2010, 11:59 PM

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.

**red_dog** · August 13th 2010, 12:39 AM

If $\overrightarrow{v}=(a,b,c)$ , then $\overrightarrow{v}=a\cdot\overrightarrow{i}+b\cdot \overrightarrow{j}+c\cdot\overrightarrow{k}$

and $|\overrightarrow{v}|=\sqrt{a^2+b^2+c^2}$

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