With respect to a rectangular Cartesian coordinate system, three vectors are expressed as a i j 4ˆ ˆ , b i j 3ˆ 2 ˆ and c k ˆ where i j k ˆ ,ˆ ,ˆ are unit vectors, along the X, Y and Z-axis respectively. The unit vectors rˆalong the direction of sum of these vector is
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