Determine Whether Any of the Lines Given Below Are Parallel

question 110

Multiple Choice

Determine whether any of the lines given below are parallel or identical. $\begin{array} { l } L _ { 1 } : \quad x = - 8 - 4 t , y = 6 - 6 t , z = - 7 - 2 t \\L _ { 2 } : \quad x = - 4 + 4 t , y = 12 + 6 t , z = - 5 + 2 t \\L _ { 3 } : \quad x = 4 t , y = 2 - 6 t , z = 1 + 2 t \\L _ { 4 } : \quad x = - 4 - 4 t , y = 12 - 6 t , z = - 5 - 2 t\end{array}$

• A) \(L _ { 2 } , L _ { 3 }\) are identical
• B) \(L _ { 1 } , L _ { 2 } , L _ { 4 }\) are identical
• C) \(L _ { 1 } , L _ { 2 }\) are identical
• D) \(L _ { 1 } , L _ { 4 }\) are parallel
• E) \(L _ { 1 } , L _ { 3 }\) are parallel

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Definitions:

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