which of the following best represents \\(\\vec{a}\\) (blue upward arrow), \\(\\vec{a} - \\vec{b} =…

which of the following best represents \\(\\vec{a}\\) (blue upward arrow), \\(\\vec{a} - \\vec{b} = \\vec{c}\\)? (\\(\\vec{b}\\) is green left - right arrow, and there are three diagrams below with vectors \\(\\vec{a}\\), \\(\\vec{b}\\), \\(\\vec{c}\\) in different arrangements)

which of the following best represents \\(\\vec{a}\\) (blue upward arrow), \\(\\vec{a} - \\vec{b} = \\vec{c}\\)? (\\(\\vec{b}\\) is green left - right arrow, and there are three diagrams below with vectors \\(\\vec{a}\\), \\(\\vec{b}\\), \\(\\vec{c}\\) in different arrangements)

Answer

Explanation:

Step1: Rewrite subtraction as addition

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

Step2: Identify $-\vec{B}$ direction

$-\vec{B}$ points right, opposite to original leftward $\vec{B}$.

Step3: Apply triangle/parallelogram rule

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

Answer:

Option 2 (middle panel): The diagram with upward $\vec{A}$, rightward $-\vec{B}$ (drawn as $\vec{B}$ pointing right here), and resultant $\vec{C}$ connecting the start of $\vec{A}$ to the end of the rightward vector.