Determine Whether the Lines L₁: X = 1 + T

question 243

Short Answer

Determine whether the lines L₁: x = 1 + t, y = 2 + 3t, z = 3 + t and L₂: x = 1 + t, y = 3 + 4t, z = 4 + 2t are parallel, intersecting or skew. If they intersect, find the point of intersection.

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Definitions:

Butan-1-ol

A four-carbon chain alcohol with the hydroxyl group attached to the first carbon.

1-butanamine

A chemical compound, also known as butylamine, which is an amine with the formula CH3(CH2)3NH2, used in the manufacture of pharmaceuticals and pesticides.

IUPAC Name

The systematic name given to a chemical substance, based on a set of standard rules by the International Union of Pure and Applied Chemistry.

Amine

An organic compound derived from ammonia; characterized by the presence of a nitrogen atom bonded to carbon atoms.