A stone is thrown from a height of 1m with a velocity of \(3i + 2j + 6k\,\,m{s^{ - 1}}\), where \(i,j\) and \(k\) are unit vectors in the east, north and vertically up directions respectively. The acceleration of the stone due to gravity, air resistance and wind is \(4i + 2j - 2k\,\,m{s^{ - 2}}\). Assuming a flat ground and the origin on the ground level directly below the point of projection, calculate the maximum height reached by the stone.