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Vectors, trigonometry, graphs, units, uncertainty, ratios, and equations used across physics.
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Vectors, trigonometry, graphs, units, uncertainty, ratios, and equations used across physics.
Motion, forces, equilibrium, work, energy, momentum, and physical modeling.
Current, voltage, resistance, power, circuits, and vector reasoning for fields.
Reflection, refraction, lenses, images, ray diagrams, and geometry-based reasoning.
Convert a vector between polar form and Cartesian components. This tool shows how magnitude, direction, x-component, and y-component are connected through trigonometry, coordinate geometry, and physics modeling.
Use component mode when you know x and y. Use polar mode when you know magnitude r and direction θ.
x = r cos θ, y = r sin θ
A vector can be represented in two equivalent forms. Cartesian form describes the vector using horizontal and vertical components. Polar form describes the same vector using a magnitude and a direction.
Use the polar-to-Cartesian formulas when the vector is given by magnitude and angle. Use the Cartesian-to-polar formulas when the vector is given by components.
The sign of each component depends on the quadrant. This is one of the most important ideas in vector decomposition.
The same conversion appears whenever a directional quantity must be separated into perpendicular effects.
Generate a random vector problem, solve it by hand, then reveal the answer.
Hint: use x = r cos θ and y = r sin θ.
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Interactive Physics Tool English Tiếng Việt Español Français 日本語 한국어 中文 Calculator Concept Formulas Examples Practice Mistakes FAQ Vector Components Calculator Convert a vector between polar…