Express the position vector 7, velocity v, and acceleration ā in terms of the sphericalcoordinates (r, 0. p).a. Determine the three unit vectors that we will employ in spherical coordinates byar jae and êe =arjaeevaluating ê, = Tarjər" "b. Evaluate the time derivatives (ể, ếg, and ê,) of the unit vectors ê, êg, and êo.c. Show that the three units vectors are orthogonal to each other. (b)Sphericalsx=r sine cosoy=r sine sinoz=r coseConsider spherical coordinates as defined by their relationships to the Cartesiancoordinates:x =r sin 8 cos pX2 =r sin 0 cosX3 =r cos 0r2 = [xỉ + x3 + xe = tan-(x? + x3)x3$ = tan-(x2/x1)or

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Answered: Express the position vector 7, velocity…

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