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In a cartesian coordinate system xyz vector a has

An ant crawls on the surface of a ball of spherical coordinates r=b, phi=wt, theta=(pi/2)*[1+ 1/4 *cos(4wt)]. Find acceleration and xy projection of ant's trajectory if b=1. Does the ant's path change with changing w?

In a Cartesian Coordinate system xyz, vector A has coordinates (0,2,0). What are the coordinates of A in a second right-hand Cartesian Coordinate system x'y'z' where x' and y' point along (-2,1,0) and (1,2,-1) as viewed in the first coordinate system?

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