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Determine Whether Any of the Lines Given Below Are Parallel

Question 110

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Determine whether any of the lines given below are parallel or identical. L1:x=84t,y=66t,z=72tL2:x=4+4t,y=12+6t,z=5+2tL3:x=4t,y=26t,z=1+2tL4:x=44t,y=126t,z=52t\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) L2,L3L _ { 2 } , L _ { 3 } are identical
B) L1,L2,L4L _ { 1 } , L _ { 2 } , L _ { 4 } are identical
C) L1,L2L _ { 1 } , L _ { 2 } are identical
D) L1,L4L _ { 1 } , L _ { 4 } are parallel
E) L1,L3L _ { 1 } , L _ { 3 } are parallel

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