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» <html><body><p></p>Solution :<a href="https://interviewquestions.tuteehub.com/tag/hint-486738" style="font-weight:bold;" target="_blank" title="Click to know more about HINT">HINT</a> : The sum (difference ) ofany two sides of a <a href="https://interviewquestions.tuteehub.com/tag/trangle-3228455" style="font-weight:bold;" target="_blank" title="Click to know more about TRANGLE">TRANGLE</a> is never less third side . <a href="https://interviewquestions.tuteehub.com/tag/equality-974006" style="font-weight:bold;" target="_blank" title="Click to know more about EQUALITY">EQUALITY</a> <a href="https://interviewquestions.tuteehub.com/tag/holds-1028346" style="font-weight:bold;" target="_blank" title="Click to know more about HOLDS">HOLDS</a> for collinear vectors.</body></html>