The equations of \( L_{1} \) and \( L_{2} \) are \( y=m x \) and \( y=n x \),
respectively. Supp.... VIDEO
The equations of \( L_{1} \) and \( L_{2} \) are \( y=m x \) and \( y=n x \),
\( \mathrm{P} \)
respectively. Suppose \( L_{1} \) make twice as large of an angle with the horizontal (measured counterclockwise from the positive X-axis) as does \( L_{2} \) and that \( L_{1} \) has 4 times the slope of \( L_{2} \). If \( L_{1} \) is not horizontal, then the value of product \( (\mathrm{mn}) \) equals:
(1) \( \frac{\sqrt{2}}{2} \)
(2) \( -\frac{\sqrt{2}}{2} \)
(3) 2
(4) -2
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