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Let veca , vecb and vecc be pairwise mut...

Let `veca , vecb and vecc` be pairwise mutually perpendicular vectors, such that `|veca|=3, |vecb|=4, |vecc| = 5`, the find the length of ` veca +vecb + vecc`.

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`|veca+vecb+vecc|^(2)=(veca+vecb+vecc).(veca+vecb+vecc)`
`= |veca|^(2)+|vecb|^(2)+|vecc|^(2)+2veca.vecb + 2veca.vecb+2vecb.vecc+2vecc.veca`
`=1+4+4+0+0+0=9`
`Rightarrow |veca+vecb+vecc|=3`
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CENGAGE PUBLICATION-DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS -Exercise 2.1
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