which of the following best represents \\(\\vec{a} - \\vec{b} = \\vec{c}\\)?

Explanation:

Step1: Rewrite subtraction as addition

$\vec{A} - \vec{B} = \vec{A} + \left(-\vec{B}\right)$

Step2: Apply triangle vector rule

Place tail of $-\vec{B}$ at head of $\vec{A}$. $\vec{C}$ connects tail of $\vec{A}$ to head of $-\vec{B}$, matching the first option.

Answer:

The first leftmost diagram correctly represents $\boldsymbol{\vec{A} - \vec{B} = \vec{C}}$