3d vector component

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

Correct answer:

u3 =  7.3485
u3 =  -7.3485

Step-by-step explanation:

∣u∣=12=32+92+u32 122=32+92+u32 u32=54 u3=±7.3485
u3=−12⋅ 12−3⋅ 3−9⋅ 9=−7.3485

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