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3: Geometry & Trigonometry
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Vectors

Vectors

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Timeline

BASICS & SCALAR PRODUCT

Different forms of vectors

00:35

Position & Displacement Vectors

02:50

Adding & subtracting vectors

05:17

Zero vector and negative vector

06:31

Scalar multiples of vectors

07:05

Vector Magnitude

07:40

Parallel vectors

08:58

Scalar product

10:34

Angle between vectors

11:12

Perpendicular vectors

13:17

Acute vs Obtuse Angles

14:18

Properties of the scalar product

14:53

Problem

15:57

Problem

20:05

Problem

31:07

VECTOR PRODUCT

Vector product

49:36

Properties of the vector product

51:54

Vector areas with cross product

53:38

Vector product and sin of angle

57:29

Problem

57:49

LINES

Vector form

1:02:50

Parametric form

1:04:02

Cartesian form

1:04:52

Modeling with vectors

1:07:14

Problem

1:07:56

Intersecting lines

1:13:28

Angle between lines

1:15:09

Parallel lines in 3D

1:16:30

Coincident lines

1:16:48

Skew lines

1:18:06

PLANES

Vector form

1:19:32

Normal form

1:21:54

General form

1:26:05

Problem

1:27:35

Intersection of line and plane

1:36:27

Angle between line and plane

1:37:19

Intersection between 2 planes

1:38:32

Angle between 2 planes

1:40:49

Problem

1:41:53

Intersection of 3 planes

1:46:43

Problem

1:48:20

Basics & Scalar ProductVector ProductLinesPlanes

The video will automatically pause when it reaches a problem.

Basics & Scalar ProductVector ProductLinesPlanes