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Let's also look again at the vectorsum example, which is
redrawn in Fig.5.6. The norm of the vector sum
is
while the norms of
and
are
and
,
respectively. We find that
,
which is an example of the triangle inequality. (Equality occurs
only when
and
are collinear, as can be seen geometrically from
studying
Fig.5.6.)
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