The magnitude of the projection of the vector

Question:

The magnitude of the projection of the vector $2 \hat{\mathrm{i}}+3 \hat{\mathrm{j}}+\hat{\mathrm{k}}$ on the vector perpendicular to the plane containing the vectors $\hat{i}+\hat{j}+\hat{k}$ and $\hat{i}+2 \hat{j}+3 \hat{k}$, is:

  1. $\frac{\sqrt{3}}{2}$

  2. $\sqrt{\frac{3}{2}}$

  3. $\sqrt{6}$

  4. $3 \sqrt{6}$


Correct Option: , 2

Solution:

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