List of top Mathematics Questions on Inequalities asked in PSEB XII

Prove that for any two non-zero vectors \( \mathbf{a} \) and \( \mathbf{b} \), \[ |\mathbf{a} + \mathbf{b}| \leq |\mathbf{a}| + |\mathbf{b}| \] Also, write the name of this inequality.

Name of the inequality \( |\vec{a} + \vec{b}| \leq |\vec{a}| + |\vec{b}| \) is: