Magnitude of P + Q when the dot and cross products are related

1. A.
   $\sqrt{P^2 + Q^2}$
2. B.
   $\dfrac{\sqrt{P^2 + Q^2}}{\sqrt{2}}$
3. C.
   $\sqrt{P^2 + Q^2 + \dfrac{PQ}{\sqrt{2}}}$
4. D.
   $\sqrt{P^2 + Q^2 + \sqrt{2}\,PQ}$

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1. A.
   $\left[A^2 + B^2 + \dfrac{AB}{\sqrt{3}}\right]^{\frac{1}{2}}$
2. B.
   $A + B$
3. C.
   $(A^2 + B^2 + \sqrt{3}AB)^{\frac{1}{2}}$
4. D.
   $(A^2 + B^2 + AB)^{\frac{1}{2}}$

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