INTERACTIVE ACTIVITY
a) You try to find, moving the green points if it seems convenient, any relation between the module of the sum + and the modules of the adding and .
b) ¿ Is there any situation in which
| + | =| | +| |
(That is to say, that the module of the sum is similar to the sum of the modules?) Try to find it moving the green points.
SOLUTION
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a) Check the triangular inequality with vectors = (3,4) and = (12,5). That is to say, calculate | | and | |, you calculate
later + and his module | + | ; finally, you compare the three modules | |, | | and | + |.
b) Checks the triangular inequality with vectors = (2, -2) and = (-3,1.)
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