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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|` ,
` | 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 aplly ?

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