Let $\overrightarrow{\mathrm{a}}=\hat{\mathrm{i}}+\hat{\mathrm{j}}, \overrightarrow{\mathrm{b}}=3 \hat{\mathrm{i}}+4 \hat{\mathrm{k}}$ and $\overrightarrow{\mathrm{b}}=\overrightarrow{\mathrm{c}}+\overrightarrow{\mathrm{d}}$, where $\vec{c}$ is parallel to
$\vec{a}$ and $\vec{d}$ is perpendicular to $\vec{a}$
If $\overrightarrow{\mathrm{d}}=\mathrm{x} \hat{\mathrm{i}}+\mathrm{y} \hat{\mathrm{j}}+\mathrm{z} \hat{\mathrm{k}}$, then which of the following equations
is/are correct?
$1.$ $\quad \mathrm{y}-\mathrm{x}=4$
$2.$ $\quad 2 z-3=0$
Select the correct answer using the code given below: