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10 cards from this deck
Direction vectors are scalar multiples: b1=kb2\mathbf{b}_1 = k\mathbf{b}_2b1=kb2
Not parallel and do not intersect
r1=r2\mathbf{r}_1 = \mathbf{r}_2r1=r2 has a consistent solution
Three equations (one for each component)
λ\lambdaλ and μ\muμ simultaneously
Substitute back to find intersection point
b1=kb2\mathbf{b}_1 = k\mathbf{b}_2b1=kb2, k∈Rk \in \mathbb{R}k∈R
Neither parallel nor intersecting
Three component equations
Lines may be skew (no intersection exists)
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