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Vectors and matrices › Lines, planes and vectors in space › Angles between vectors and planes

Angle between lines from direction cosines

University · ●●●○○ 50 pts

Two lines have direction cosines (l1,m1,n1)(l_1,m_1,n_1) and (l2,m2,n2)(l_2,m_2,n_2). Each line satisfies l+m+n=0l+m+n=0 and mnq−r+nlr−p+lmp−q=0\frac{mn}{q-r}+\frac{nl}{r-p}+\frac{lm}{p-q}=0, where pp, qq, rr are distinct constants. Find the acute angle between the two lines, in degrees.

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