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(D) Given the position vectors of $A$ and $B$ are $\overrightarrow{OA} = 2i - 9j - 4k$ and $\overrightarrow{OB} = 6i - 3j + 8k$.The vector $\overright

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$14$

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(D) Given the position vectors of $A$ and $B$ are $\overrightarrow{OA} = 2i - 9j - 4k$ and $\overrightarrow{OB} = 6i - 3j + 8k$.The vector $\overrightarrow{AB}$ is given by $\overrightarrow{OB} - \overrightarrow{OA}$.$\overrightarrow{AB} = (6 - 2)i + (-3 - (-9))j + (8 - (-4))k$$\overrightarrow{AB} = 4i + 6j + 12k$The magnitude of $\overrightarrow{AB}$ is $|\overrightarrow{AB}| = \sqrt{4^2 + 6^2 + 12^2}$.$|\overrightarrow{AB}| = \sqrt{16 + 36 + 144} = \sqrt{196} = 14$.

The position vectors of $A$ and $B$ are $2i - 9j - 4k$ and $6i - 3j + 8k$ respectively. Then the magnitude of $\overrightarrow{AB}$ is:

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