The area of the square such that one of its diagonals is $3\hat{i}+4\hat{j}$, then

Consider the following inequalities in respect of the vectors $\overrightarrow{a}$ and $\overrightarrow{b}$.

$\text{I. }\left|\overrightarrow{a}+\overrightarrow{b}\right|\le \left|\overrightarrow{a}\right|+\left|\overrightarrow{b}\right|$

$\text{II. }\left|\overrightarrow{a}-\overrightarrow{b}\right|\ge \left|\overrightarrow{a}\right|-\left|\overrightarrow{b}\right|$

Which of the above is / are correct?

The vectors $\overrightarrow{a},\overrightarrow{b},\overrightarrow{c}$ and $d$ are such that $\overrightarrow{a}\times \overrightarrow{b}=\overrightarrow{c}\times \overrightarrow{d}$ and $\overrightarrow{a}\times \overrightarrow{c}=\overrightarrow{b}\times \overrightarrow{d}$. Which of the following is/are correct?

$\text{I.}\left(\overrightarrow{a}-\overrightarrow{d}\right)\times \left(\overrightarrow{b}-\overrightarrow{c}\right)=0$

$\text{II.}\left(\overrightarrow{a}\times \overrightarrow{b}\right)\times \left(\overrightarrow{c}\times \overrightarrow{d}\right)=0$

Select the correct answer using the code given below.