Practice: 1. A vector defined at (4,0,0) is expressed in Cartesian coordinate system as (2,3,0), convert...
Write a MATLAB code that can convert a vector in any coordinate system to the other two coordinate systems. The code must ask the use to select in which coordinate system is the entered data. Write a MATLAB code that can convert a vector in any coordinate system (Cartesian, cylindrical or spherical) to the other two coordinate systems. The code must ask the use to select in which coordinate system is the entered data.
1. Given a vector A=5ax+ay+3az. Find the magnitude of the vector and the unit vector originating from the origin. Convert A in cylindrical coordinate and spherical coordinate system.
1. Convert to the rectangular coordinate system a. (2,5, -5) in cylindrical b. (1,5,7) in spherical c. z= r sin 0
cose 1. spherical coordinate system vector A= a 3 Express vectors with A right angle coordinate system
Convert the Cartesian coordinate (-2,-6) to polar coordinates, 0 < 0 < 27, > 0 ra Enter exact value. 0 = 1 Check Answer
Express the position vector r in Cartesian vector form; then determine its magnitude and coordinate direction angles. Given: a = 4 ft b = 25 ft c = 2 ft d = 6 ft e = 6 ft f = 4 ft
Express the Force in Cartesian vector form in Figure 1. Then, determine: a) Its magnitude b) Coordinate direction angles
Find the distance P1P2 vector between P1 (1, 2, 3) and P2 (-1, -2, 3) in Cartesian coordinates, cylindrical coordinates, AND spherical coordinates.
1 Cylindrical coordinate system Given the relation of the cylindrical coordinate system r=r cos pi+r sin øj + zk (1) Lets define vectors er, eg, and ez, that indicate the direction of the vectors in the cylindrical coordinate system. Using the definition ar e = pt=r, p2 = 0, p3 (2) (a) Find a matrix for calculating er, er and e, in terms of i, j, and k. Invert the relation for expressing i, j, and k in terms of...
Consider a sinusoidal coordinate system (u, w). The transformation of the coordinates cartesian (x, y) to parabolic coordinates are given by: u(x,y) = x, q(x, y) = y - a sin (bx), with a and b constants. (a) Obtaining the inverse transformation, from get the metric in the sinusoidal system. (b) Assumes that an observer moves with constant velocity v those components are v^x = v and v^y = 0. What is the speed of the observer in the system...