Solve this following

Question:

Let $\overrightarrow{\mathrm{u}}$ be a vector coplanar with the vectors $\overrightarrow{\mathrm{a}}=2 \hat{\mathrm{i}}+3 \hat{\mathrm{j}}-\hat{\mathrm{k}}$ and $\overrightarrow{\mathrm{b}}=\hat{\mathrm{j}}+\hat{\mathrm{k}}$. If $\overrightarrow{\mathrm{u}}$ is perpendicular

to $\overrightarrow{\mathrm{a}}$ and $\overrightarrow{\mathrm{u}} \cdot \overrightarrow{\mathrm{b}}=24$, then $|\overrightarrow{\mathrm{u}}|^{2}$ is equal to-

  1. 315

  2. 256

  3. 84

  4. 336


Correct Option:

Solution:

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