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Let $\alpha$ be the angle between the lines whose direction cosines satisfy the equations $1 + m - n = 0$ and $l^2 + m^2 - n^2 = 0$. Then the value of $\sin^4 \alpha + \cos^4 \alpha$ is:
(1) $\frac{3}{4}$
(2) $\frac{1}{2}$
(3) $\frac{5}{8}$
(4) $\frac{3}{8}$
BETA
