A vector `vec C` when added to the resultant of the vectors `vec A = 3 hati -4 hat j + 5 hat k

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A vector `vec C` when added to the resultant of the vectors `vec A = 3 hati -4 hat j + 5 hat k` and vec B = 2 vec 2 hat I + 3 hat j -4 hat k` giv es a unit vector along y-axis. Find the magnitude of `vec C`.
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