- In A Plane There Are Two Equivalent Coordinate Systems The Cartesian Coordinate System Is Defined By Unit Vectors I An 1 (81.23 KiB) Viewed 120 times
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In a plane, there are two equivalent coordinate systems. The Cartesian coordinate system is defined by unit vectors i and along along the r-axis and the y-axis, respectively. The polar coordinate system is defined by the radial unit vector i which gives the direction from the origin, and a unit vector 6,which is perpendicular (orthogonal) to the radial direction (see figure 4).Let (r, ) be the two dimensional polar coordinates. For this assignment, note that that the polar coordinates are functions of time, t. K Figure 4: Vectors In Polar Coordinates 1. Find † and ê in terms of î and ġ. Verify that f and ê are unit vectors. 2. Using question 1, find dî and dini in terms of f, ô, the polar coordinates (1,6) and the derivatives of r and 0. Here, t =time. 3. Using question 1, find de and lipid in terms of f, ô, the polar coordinates (r, 0) and the derivatives of r and a