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Let \( \overrightarrow{\mathrm{q}} \) and \( \overrightarrow{\mathrm{r}} \) be non-collinear vectors, If \( \vec{p} \) is a vector
\( \mathrm{P} \) such that \( \overrightarrow{\mathrm{p}} \cdot(\overrightarrow{\mathrm{q}}+\overrightarrow{\mathrm{r}})=4 \) and

W \( \overrightarrow{\mathrm{p}} \times(\overrightarrow{\mathrm{q}} \times \overrightarrow{\mathrm{r}})=\left(\mathrm{x}^{2}-2 x+6\right) \overrightarrow{\mathrm{q}}+(\sin y) \overrightarrow{\mathrm{r}} \), then \( (x, y) \) lies on the line
(1) \( x+y=0 \)
(2) \( x-y=0 \)
(3) \( x=1 \)
(4) \( x=\pi \)
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