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Lines and Planes, and Geometry of Vectors in 3D Space - Calculus 3
4 months ago
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Health & Science
Education
calculus 3
lines and planes
calculus
equations of lines and planes
vectors and geometry of space calculator
vectors and the geometry of space pdf
vector equation of a line
chapter 10 vectors and the geometry of space
vectors and the geometry of space cheat sheet
This video explains how vectors (particularly the dot and cross product) can be used to define lines and planes in 3D space, parametrize lines, and compute the distance between a point and a line or plane, and provides worked example practice problems.
0:00 Definition and parameterization of lines in 3D space
3:53 Distance from a point to a line using the cross product
5:04 Defining the plane equation using the dot product
7:52 Intersecting planes
9:18 Distance from a point to a plane
11:20 Angle between planes
12:44 Worked examples
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