Show that for two vectors v and w of a Euclidean vector space V we have |v+w| ≤ |v|+ |w|. Can anybody help with this please?
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Originally Posted by jackiemoon Show that for two vectors v and w of a Euclidean vector space V we have |v+w| ≤ |v|+ |w|. Can anybody help with this please? First you will need the cauchy-schwarz inequality Now starting with the square we get Now we take the square root and we are done.
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