\usetikzlibrary{ arrows.meta, calc, fit, positioning, quotes, angles }
\begin{tikzpicture} \coordinate (x) at (-3.7, -3.7); \coordinate (y) at (5.2, 0); \coordinate (z) at (0, 5.2); \coordinate (O) at (0, 0); \node[below] at (x){$x$}; \node[right] at (y){$y$}; \node[above] at (z){$z$}; \node[shift={(0.2, 0.2)}] at (O){$O$}; \draw[->] (O) -- (y); \draw[->] (O) -- (z); \draw[->] (O) -- (x);
\foreach \x in {1,...,4} { \draw[xshift=\x cm] (0, 0) -- (0, 0.1); \draw[yshift=\x cm] (0, 0) -- (0.1, 0); \draw[xshift=-\x*0.6 cm, yshift=-\x*0.6 cm] (0, 0) -- (0, 0.1); };
\foreach \y in {1, 2, ..., 4} \node[below] at(\y,0){\y}; \foreach \y in {1, 2, ..., 4} \node[left] at(0,\y){\y}; \foreach \z in {1, 2, ..., 4} \node[right] at(-\z*0.6, -\z*0.6){\z}; \end{tikzpicture}
\begin{tikzpicture} \coordinate (x) at (-3.7, -3.7); \coordinate (y) at (5.2, 0); \coordinate (z) at (0, 5.2); \coordinate (O) at (0, 0); \node[below] at (x){$x$}; \node[right] at (y){$y$}; \node[above] at (z){$z$}; \node[shift={(0.2, 0.2)}] at (O){$O$}; \draw[->] (O) -- (y); \draw[->] (O) -- (z); \draw[->] (O) -- (x);
\draw (0, 0) circle (4);
\coordinate (I1) at (2.3, 1.7); \coordinate (I2) at (0.3, -3); \coordinate (I3) at (-3, -0.3); \node[shift={(0.2, 0.2)}] at (I1){$I_1$}; \node[shift={(0.2, 0.2)}] at (I2){$I_2$}; \node[shift={(0.2, 0.2)}] at (I3){$I_3$}; \fill[color = red](I1) circle (1pt); \fill[color = red](I2) circle (1pt); \fill[color = red](I3) circle (1pt); \draw[dashed] (O) -- (I1); \draw[dashed] (O) -- (I2); \draw[dashed] (O) -- (I3);
\coordinate (N) at (0, 4); \node[shift={(0.2, 0.2)}] at (N){$N$}; \fill[color = black](N) circle (1pt); \coordinate (A) at (-1, -0.3); \node[shift={(0.2, 0.2)}] at (A){$A$}; \fill[color = black](A) circle (1pt); \draw[dashed, color = blue] (O) -- (A); \draw[->, color = blue] (A) -- (${3}*(A)$); \coordinate (M) at (0.3, 3.9); \coordinate (zz) at (${1.3}*(M)$); \node[shift={(0.2, 0.2)}] at (M){$M$}; \fill[color = black](M) circle (1pt); \draw[dashed, color = blue] (O) -- (M); \draw[->, color = blue] (M) -- (zz); \node[above] at (zz){$z'$}; \end{tikzpicture}
\begin{tikzpicture} \coordinate (x) at (-3.7, -3.7); \coordinate (y) at (5.2, 0); \coordinate (z) at (0, 5.2); \coordinate (O) at (0, 0); \node[below] at (x){$x$}; \node[right] at (y){$y$}; \node[above] at (z){$z$}; \node[shift={(0.2, 0.2)}] at (O){$O$}; \draw[->] (O) -- (y); \draw[->] (O) -- (z); \draw[->] (O) -- (x);
\draw (0, 0) circle (4);
\coordinate (I1) at (2.3, 1.7); \node[shift={(0.2, 0.2)}] at (I1){$I_1$}; \fill[color = red](I1) circle (1pt); \draw[dashed] (O) -- (I1);
\coordinate (N) at (0, 4); \node[shift={(0.2, 0.2)}] at (N){$N$}; \fill[color = black](N) circle (1pt); \coordinate (M) at (0.3, 3.9); \coordinate (zz) at (${1.3}*(M)$); \node[shift={(0.2, 0.2)}] at (M){$M$}; \fill[color = black](M) circle (1pt); \draw[dashed, color = blue] (O) -- (M); \draw[->, color = blue] (M) -- (zz); \node[above] at (zz){$z'$};
\coordinate (w) at (2.5, 2); \coordinate (h) at (-2, 3); \coordinate (s1) at (2, -0.8); \coordinate (s2) at ($(s1) + (w)$); \coordinate (s3) at ($(s1) + (h)$); \coordinate (s4) at ($(s1) + (w) + (h)$); \draw (s1) -- (s2); \draw (s1) -- (s3); \draw (s4) -- (s2); \draw (s4) -- (s3);
\coordinate (h1) at (${0.3}*(h)$); \coordinate (R) at ($(I1) + (h1)$); \node[shift={(-0.2, -0.2)}] at ($(I1) + (h1)$){$R$}; \draw[->] (I1) -- (R); \coordinate (h2) at (-0.5, 1); \coordinate (S) at ($(I1) + (h2)$); \node[shift={(0.2, 0.2)}] at ($(I1) + (h2)$){$S$}; \draw[->, color = blue] (I1) -- (S); \coordinate (h3) at (1, 0.5); \coordinate (Q) at ($(I1) + (h3)$); \node[shift={(0.2, 0.2)}] at ($(I1) + (h3)$){$Q$}; \draw[->, color = red] (I1) -- (Q);
\pic[draw = black, angle radius = 15pt]{angle = Q--I1--R}; \pic[draw = blue, angle radius = 17pt]{angle = Q--I1--S}; \end{tikzpicture}
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