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17Calculus - Applications of Lines and Planes in 3-Space Using Vectors

17Calculus
Single Variable Calculus
Derivatives
Integrals
Multi-Variable Calculus
Precalculus
Functions

Before going on, you need to understand the basics of lines in 3-space and planes in 3-space.

Some Concepts You Need To Know To Work Application Problems - - There are just too many applications of lines and planes in space to cover all of them here. So this section lists some of the concepts you need to know to work application problems and then lists some topics where we apply them. The idea of application problems is to put these concepts together to solve the problem.

1. The dot product of orthogonal vectors is a zero scalar.

2. The cross product of parallel vectors is a zero vector.

3. The result of the cross product is a vector which is orthogonal to the original two vectors.

4. Make sure you know how to convert from one form of a line or plane representation to any other. For example, if you are given a plane in parametric form, know how to get the general form. Working practice problems helps you think through how to do each case.

Here are the topics we cover on separate pages.

Intersections Involving Points, Lines and Planes

Distances Between Points, Lines and Planes

Tangents and Normals to Planes

Really UNDERSTAND Calculus

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