Lines and Planes in Space

This course involves the study of lines and spaces in space. It discusses parametric equations and symmetric equations of a line. It explains how to find the parametric and symmetric equations of the line passing through two given points. It then explains the meaning of skew lines. The next section of the course deals with planes in space. It introduces the general form of the equation of a plane. The conditions of the parallel planes are discussed. Lastly, the course explains the method to calculate the distance between a point and a plane.

10 topics

121 lectures

Educators

Course Curriculum

6 videos

The Dot Product

5 videos

The Cross Product

5 videos

Lines and Planes in Space

5 videos

Vector Functions

16 videos

Functions of Several Variables

11 videos

Partial Derivatives

10 videos

Multivariable Optimization

16 videos

Multiple Integrals

21 videos

Vector Calculus

26 videos

Lines and Planes in Space Lectures

Lines and Planes in Space

Lines and Planes in Space - Overview

A plane in three-dimensional space is defined by three points, each of which is a vector and not all of which are collinear. A line in three-dimensional space is defined by three points, each of which is a vector and not all of which are collinear.

Matt Just

Lines and Planes in Space

Lines and Planes in Space - Example 1

A plane in three-dimensional space is defined by three points, each of which is a vector and not all of which are collinear. A line in three-dimensional space is defined by three points, each of which is a vector and not all of which are collinear.

Matt Just

Lines and Planes in Space

Lines and Planes in Space - Example 2

A plane in three-dimensional space is defined by three points, each of which is a vector and not all of which are collinear. A line in three-dimensional space is defined by three points, each of which is a vector and not all of which are collinear.

Matt Just

Lines and Planes in Space

Lines and Planes in Space - Example 3

A plane in three-dimensional space is defined by three points, each of which is a vector and not all of which are collinear. A line in three-dimensional space is defined by three points, each of which is a vector and not all of which are collinear.

Matt Just

Lines and Planes in Space

Lines and Planes in Space - Example 4

A plane in three-dimensional space is defined by three points, each of which is a vector and not all of which are collinear. A line in three-dimensional space is defined by three points, each of which is a vector and not all of which are collinear.

Matt Just