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With respect to a rectangular Cartesian ...

With respect to a rectangular Cartesian co-ordinate system, three vectors are expressed as `vec a = 4hati -hatj, vec b =-3hati +2hatj, vec c=-hatk` where `hati, hatj, hatk` are unit vectors, along the x, y and z-axes respectively. The unit vector `hatr` along the direction of the sum of these three vectors is given by

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