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If the vectors \vec a=\lambda\,\hat i+µ\,\hat j+4\,\hat k, \vec b=-2\,\hat i+4\,\hat j-2\,\hat k and \vec c=2\,\hat i+3\,\hat j+\hat k are coplanar and the projection of \vec a on the vector \vec b is √54 units, then the sum of all possible values of \lambda+µ is equal to: | Watch the step-by-step video solution for this NIMCET PYQ.