\begin{tikzpicture}[scale=1.5]

    \draw[-triangle 45] (-4.5,0) -- (5.5,0) node[right] {$x$};

     \foreach \x in {-4,-2,-1,1,3,4}
       \draw (\x cm,1pt) -- (\x cm,-1pt) node[anchor=north] {$\x$};

     \draw[-triangle 45] (0,-1) -- (0,4) node[above] {$y$};
         \foreach \y in {2}
         \draw (1pt,\y cm) -- (-1pt,\y cm) node[anchor=east] {$\y$};

%Vector a

    \draw [color=red, thick, -triangle 45](0,0) -- (2,3) node[midway,sloped,above] {$\vec a$};
    \draw [color=red, dashed, thin] (2,-0.1) -- (2,3);
    \draw [color=red, dashed, thin] (-0.1,3) -- (2,3);
        \node[red] at (2,-0.25) {$a_1$};
        \node[red] at (-0.25, 3) {$a_2$};
%Vector b

    \draw [color=green!65!black, thick, -triangle 45](0,0) -- (5,1) node[midway,sloped,above] {$\vec b$};
    \draw [color=green!65!black, dashed, thin] (5,-0.1) -- (5,1);
    \draw [color=green!65!black, dashed, thin] (-0.1,1) -- (5,1);
    \draw [color=green!65!black, thick, -triangle 45, dashed](2,3) -- (-3,2) ;
            \node[green!65!black] at (5,-0.25) {$b_1$};
            \node[green!65!black, left] at (-0.05,1) {$b_2$};
%Vector a b

    \draw [color=blue, thick, -triangle 45](0,0) -- (-3,2) node[midway,sloped,above] {$\vec a - \vec b$};
    \draw [color=blue, dashed, thin] (-3,-0.1) -- (-3,2);
    \draw [color=blue, dashed, thin] (-0.1,2) -- (-3,2);
    \draw [color=blue, thick, -triangle 45, dashed](5,1) -- (2,3) ;
            \node[blue, right] at (0,2) {$a_2-b_2$};
            \node[blue] at (-3,-0.25) {$a_1-b_1$};


\end{tikzpicture}