Question

丨a丨=4,丨b丨=2,丨c丨=6,且丨a+b丨=a+b,丨a+c丨=-(a+c),求a-b+c的值

Answer 1

丨a丨=4,丨b丨=2,丨c丨=6,

丨a+b丨=a+b,

∴a+b＞0;

丨a+c丨=-(a+c),

∴a+c＜0;

∴a=4;b=±2;c=-6;

a-b+c

=4±2-6

=-2±2

=0或-4；

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