Find the distance P1P2 vector between P1 (1, 2, 3) and P2 (-1, -2, 3) in Cartesian coordinates, cylindrical coordinates, AND spherical coordinates.
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1) Find the distance P1P2 vector between P1 (1, 2, 3) and P2 (-1, -2, 3) in Cartesian coordinates, cylindrical coordinates, AND spherical coordinates.
Points P1 and P2 have Cartesian coordinate:s (2.2,0) and (1,0,1), respectively (a) Find the spherical coordinates of P1. (b) Express erl , ^e01,and" eφ1, the spherical unit vectors at P1,intermsofthe Cartesian unit vectors
Write the vector differential operator "DEL-V in Cartesian coordinates Cylindrical coordinates Spherical coordinates. 2. Show for any "nice" scalar function (x,y,z), the Curl of the gradient of (x,y,z) is Zero.. VxVo = 0 Hint: assume the order of differentiation can be switched 3. Find the volume of a sphere of radius R by integrating the infinitesimal volume element of the sphere. 4. Write Maxwell's equations for the case of electro and magneto statics (the fields do not change in time)...
Express vector 10 C=—a, +r cos Odo +ap in Cartesian and Cylindrical coordinates. Find C(-3, 4, 0) and C(5, 7/2, -2). Cuma
1. Express the point given in Cartesian coordinates in cylindrical coordinates (r,θ,z). (9(√3/2), 9(1/2), 1)= 2. Express the point given in Cartesian coordinates in spherical coordinates (ρ,θ,ϕ). (7/3√3,21/4,7/2) = I know we are only supposed to post 1 per question however for this one I have 1 part correct, I just need some help with the rest. Please if you have the time help with question 2. Thank you for your time and knowledge. (1 point) Express the point given...
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Extra Credit: 1) Find the distance between P1 (-3,4) and P2 (2.-3). Give the exact value of the distance and also the approximate distance to the nearest hundredths 2) Find the int for the line segment connecting the two given points: P (-2,-3) and P2 (3,5) 3) Solve the equation: V2x x +1+1 equation: V2x
Find the unknown quantities a. P1(-6, y), P2 (8, 4) and P1P2 = 13
Find the distance d (P1,P2) between the given points P1 and P2 P1= (6,5) P2=(-2,6) d(P1,P2)=
Problem 4 The parabolic cylindrical coordinates , , u) are related to the Cartesian coordinat es (x,y, z) by the transformat ion a) The line-element in Cartesian coordinates is given by d82-dr2+dy2+d22-De- termine the lne-elemen expressed in terms of the parabolic cylindrical coordinates b) Given F = 211,2) of the equation V22) F e where F depends only nu. Find the explicit form F-x F kF c) Solve the equation fro b) to find F Useful formulas: Given any ort...
Figure 1: Spherical coordinates Find the components of the acceleration vector a-r in spherical coordinates