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:

Materiality

The significance of an event, fact, or piece of information in influencing the decision-making of users, notably in the context of financial reporting or legal proceedings.

Breach

The violation or failure to perform any term of a contract, agreement, or obligation either by action or failure to act.

Nonbreaching Party

The party in a contract that has not failed to fulfill any contractual obligations, as opposed to the party that has breached the contract.

Duty of Performance

An obligation of a party in a contract to complete the tasks, obligations, or services as agreed upon in the contract.