[" 4.6Establish the following vector inequalities geometrically o "],[[" (a) "|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?

Solve the following inequalities graphically: 2x-3yle6 .