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Establish the following inequalities geo...

Establish the following inequalities geometrically or otherwise ,
(a) ` | vec A + vec B| lt= | vec A | + |vec B|` ,
(b) ` | vec A + vec B| gt= ||vec A|- | vec B||`
(C )` | vec A- vec B| lt= | vec A| + |vec B|`
(d) `| vec A- vec B| gt= || vec A| - | vec B||`
When does the equality sign above apply ?

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