Establish the following vector inequalities geometrically or otherwise :(a)|a+b|le|a|+|b| (b) |a+b|ge||a|-|b||(c ) |a-b|le|a|+|b|(d)|a-b|ge||a|-|b||When does the equality sign above apply ?

Establish the following vector inequalities geometrically or otherwise

1.	Establish the following vector inequalities geometrically or otherwise :(a)\|a+b\|le\|a\|+\|b\| (b) \|a+b\|ge\|\|a\|-\|b\|\|(c ) \|a-b\|le\|a\|+\|b\|(d)\|a-b\|ge\|\|a\|-\|b\|\|When does the equality sign above apply ?
Answer» Solution :HINT : The sum (difference ) ofany two sides of a TRANGLE is never less third side . EQUALITY HOLDS for collinear vectors.