Adding Vectors Graphically definitions Flashcards
Adding Vectors Graphically definitions
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VectorA quantity with both magnitude and direction, represented graphically by an arrow.Tip to TailA method of adding vectors by connecting the tail of one vector to the tip of another.Resultant VectorThe vector representing the shortest path from the start of the first vector to the end of the last.MagnitudeThe length or size of a vector, often calculated using the Pythagorean theorem.Pythagorean TheoremA mathematical principle used to calculate the magnitude of a resultant vector in a right triangle.Commutative PropertyA property of vector addition where the order of vectors does not affect the resultant.Vector SubtractionThe process of adding the negative of a vector, affecting the direction of the resultant.Scalar MultiplicationThe process of multiplying a vector by a scalar, changing its magnitude but not its direction.Negative VectorA vector with the same magnitude as the original but pointing in the opposite direction.DisplacementA vector representing the change in position, often the resultant in vector addition.HypotenuseThe longest side of a right triangle, used to determine the magnitude of a resultant vector.TriangleA geometric shape formed by vectors in graphical addition, used to apply the Pythagorean theorem.DirectionThe orientation of a vector in space, crucial for determining vector addition and subtraction results.Absolute ValueA mathematical operation used to express the magnitude of a vector, regardless of direction.Graphical AdditionA visual method of adding vectors by arranging them tip to tail to find the resultant.