Cartesian Axes

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Prompt

Illustration Description Draw the Cartesian Axes: Label them xx, yy, and zz. Plane P1P_1: Depict a semi‐transparent plane; label it “x+y+z=6 ”. Plane P2P_2: Another plane crossing the first at some oblique angle; label “x−y+z=4 ”. Plane P3P_3: A third plane angled differently. Label it “2x+y−z=5”. Intersection Point: Show where all three planes meet. Draw a small dot and call it (x,y,z) Use three perpendicular lines from a common origin; label them x,y,zx, y, z. Add Planes: Insert three polygonal surfaces, each labeled with its equation. Adjust angles so that all appear distinct (no coincident or obviously parallel planes).