Unit Vectors definitions Flashcards
Unit Vectors definitions
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Unit Vectors Vectors with a magnitude of one, used to simplify vector representation in the Cartesian coordinate system. Magnitude The length or size of a vector, often calculated using the Pythagorean theorem. Direction The orientation of a vector in space, often described using angles or unit vectors. Cartesian Coordinate System A coordinate system that specifies each point uniquely in a plane by a pair of numerical coordinates. Vector Addition The process of combining vectors by adding their corresponding components. Components The projections of a vector along the axes of a coordinate system, often expressed using unit vectors. i, j, k Notation A notation using unit vectors to represent vector components along the x, y, and z axes. Resultant Vector The vector sum of two or more vectors, representing the combined effect of the vectors. Graphical Representation A method of visualizing vectors using diagrams, often involving grid squares. Trigonometric Functions Functions like sine and cosine used to relate the angles and sides of a triangle. Decomposition The process of breaking a vector into its component parts along the coordinate axes. Pythagorean Theorem A mathematical equation relating the lengths of the sides of a right triangle. Algebraic Representation Expressing vectors using equations and unit vectors to specify components. Tip to Tail Method A method of vector addition where the tail of one vector is placed at the tip of another. Negative Direction The opposite direction along an axis, often indicated by a negative sign in vector notation.