Solved: ?For the following exercises, lines \(L_{1}\) and \(L_{2}\) are given. Determine

Chapter 2, Problem 263

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For the following exercises, lines \(L_{1}\) and \(L_{2}\) are given. Determine whether the lines are equal, parallel but not equal, skew, or intersecting.

\(L_{1}: x=-1+2 t, y=1+3 t, z=7 t\),     \(t \in \mathbb{R}\)     and   \(L_{2}: x-1=\frac{2}{3}(y-4)=\frac{2}{7} z-2\)

Text Transcription:

L_1

L_2

L_1: x=-1+2t, y=1+3t, z=7t

t in R

L_2: x-1 = 2/3 (y-4) = 2/7 z-2

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