3d vector component

The vector u = (3.9, u3) and the length of the vector u is 12. What is is u3?

Correct result:

u₃ =  7.3485
u₃ =  -7.3485

Solution:

$$\begin{gathered} \mathrm{\mid }u\mathrm{\mid }=12=\sqrt{3^2+9^2+u_3^2} \\ 12^2=3^2+9^2+u_3^2 \\ {u}_3^2=54 \\ {u}_3=\pm 7.3485 \end{gathered}$$

$u_3=-\sqrt{12\cdot 12-3\cdot 3-9\cdot 9}=-7.3485$

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