Exercises 1 9
11. Th e triangl e inequality . Fo r vector s i n R
n,
th e triangl e inequalit y
says tha t
\x y\ \x z\ + \y z\.
Derive th e followin g consequences :
a. \x + y\ \x\ + |y| ,
b. \x\ \y\ \x y\ \x\ + \y\.
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