[" Establish the following vector inequalities geometrically or otherwise : "],[[" (a) "|a+b|<=|a|+|b|,],[" (b) "|a+b|>=||a|-|b||]]

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: |vec a+ vec b|ge |vec a| -|vec b| . When does the equality sign above apply?

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 ?