A point in Cartesian coordinates is given by P(0,2,1). (a) Express it in cylindrical coordinates. Express...

  

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A point in Cartesian coordinates is given by P(0,2,1). (a) Express it in cylindrical coordinates. Express it in spherical coordinates. (b) Given point P(1,-2,4) and vector Ã= zā¸ + (x+y)ā.. Express Pand A in cylindrical coordinates. Express Pand A in spherical coordinates. Evaluate A at P in Cartesian system. Evaluate Ä at P in cylindrical system. Evaluate A at P in spherical system. (a) (b) (c) (d) (e) Let vector A=-ä, +2rcos fã, +3ã. (a) Express the vector A in rectangular coordinates. (b) Express the vector Ä in cylindrical coordinates. Find A(2,0,1). (c) (d) Find A (4-1). Two uniform vector fields are given by E=-3ä, +5ä, +2ä, and F = 2a, +3ä, -5a,. Find ExF. A point in Cartesian coordinates is given by P(0,2,1). (a) Express it in cylindrical coordinates. Express it in spherical coordinates. (b) Given point P(1,-2,4) and vector Ã= zā¸ + (x+y)ā.. Express Pand A in cylindrical coordinates. Express Pand A in spherical coordinates. Evaluate A at P in Cartesian system. Evaluate Ä at P in cylindrical system. Evaluate A at P in spherical system. (a) (b) (c) (d) (e) Let vector A=-ä, +2rcos fã, +3ã. (a) Express the vector A in rectangular coordinates. (b) Express the vector Ä in cylindrical coordinates. Find A(2,0,1). (c) (d) Find A (4-1). Two uniform vector fields are given by E=-3ä, +5ä, +2ä, and F = 2a, +3ä, -5a,. Find ExF.