To determine if lines are parallel, intersecting, or skew, it's essential to analyze their direction vectors. Lines are parallel if their direction vectors are multiples of each other. They intersect if the equations can be solved simultaneously. If neither condition is met, the lines are classified as skew. Resources like good Calculus books can provide detailed explanations on this topic.
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SelHype
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Does anyone know a decent website that can show me this? Everywhere I go there is not a process for Vector Calculus students.
??Any good Calculus book will have a section on this. It certainly isn't hard. Two lines in 3 space are parallel if their "direction vectors" are parallel (one is a multiple of the other), intersect if it is possible to solve the equations simultaneously, and skew if neither of those is true.