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(Solved): Explain the differences between a geometric vector and a cartesian vector. How would you draw a car ...
Explain the differences between a geometric vector and a cartesian vector. How would you draw a cartesian vector and how would you draw a geometric vector? Friction causes an ice skater to slow down. Explain why friction is considered a vector. The curved arrow shows the path of a cyclist. Which represents the displacement, the curved arrow or the dotted arrow? Explain. Suppose you are given the resultant and one vector in the addition of two vectors. How would you find the other vector?
Expert Answer
Solution: differences between a geometric vector and a cartesian vector: Geometric Vector: A geometric vector, also known as a free vector or a directed line segment, is defined by its magnitude (length) and direction. It is typically represented by an arrow, where the length of the arrow represents the magnitude, and the direction of the arrow represents the direction of the vector. Geometric vectors have no fixed position in space and can be moved parallel to themselves without changing their properties. Cartesian Vector: A Cartesian vector, also known as a coordinate vector or an algebraic vector, is represented using a set of coordinates in a specific coordinate system, such as the Cartesian coordinate system. It is defined by its components along the coordinate axes. In a three-dimensional Cartesian coordinate system, a Cartesian vector is typically written as an ordered triple (x, y, z), where x, y, and z represent the vector's components along the x, y, and z axes, respectively. main difference between a geometric vector and a Cartesian vector lies in their representation. A geometric vector is represented by an arrow indicating magnitude and direction, while a Cartesian vector is represented by a set of coordinates indicating components along the coordinate axes.