Searching for vectors

2

05:05

Exercise 1: If a, b, and c are not all zero then ax + by + cz + d = 0 is a plane

3

17:15

Distance Between Two Skew Lines

3

07:17

Distance Between Two Parallel Planes

1

10:50

Distance From a Point to a Plane + Proof

1

11:35

Intersection of Planes Forms a Line

2

20:03

Parallel and Non-Parallel Planes + Example

2

18:36

Linear Equation of a Plane + Examples

3

14:27

Vector and Scalar Equations of a Plane

3

10:56

Example on Skew Lines: Lines that Aren't Parallel and Don't Intersect

4

13:51

Vector Equation of a Line Segment

2

22:16

Direction Numbers and Symmetric Equations of a Line

2

15:16

Parametric Equations of a Line

3

09:08

Vector Equation of a Line

3

02:56

Graphing the y = x Plane in 3D Coordinates

3

04:43

Circle and Cylinder in 3D Coordinates

5

10:03

Vertical and Horizontal Planes

4

20:28

Introduction to 3D Coordinate Systems

2

27:50

Vectors as Forces in Physics and Engineering

2

07:44

Unit Vectors

3

18:54

Standard Basis Vectors i, j, k

2

09:21

Properties of Vectors

2

19:14

Vector Algebra

6

01:54

The Length or Magnitude of a Vector

4

15:20

Vectors: Components and the Position Vector

4

07:36

Vectors: Scalar Multiplication

3

11:48

Vectors: Definition, Zero Vector, Vector Addition, Triangle Law, and Parallelogram Law

2

04:12

Equation of a Plane: Derivation Using the Dot Product

7

05:59

Geometry of a Tetrahedron: Question 3: 3D Pythagorean Theorem

2

30:36

Geometry of a Tetrahedron: Question 2: Volume of a Tetrahedron in Vector Coordinate Form

4

30:32

Geometry of a Tetrahedron: Question 1: Calculating Area with Cross Products

3

01:12:30

Discovery Project: The Geometry of a Tetrahedron

3

11:36

Euler's Formula as a Rotation Matrix

2

12:50

Complex Numbers as Vector Rotations

2

13:52

Rotation Matrix is Equivalent to a Complex Number

4

06:21

Complex Numbers: Definition and Vector Form

4

09:44

Rotating a Vector with the Rotation Matrix

3

01:45

Matrix Addition

2

12:41

Matrix Multiplication

3

09:45

Rotating a Vector: Proof

4

12:07

The Dot Product in Physics: Calculating the Work Done to Move an Object

3

17:36

The Dot Product: Vector and Scalar Projections

2

18:31

The Dot Product: Direction Angles and Direction Cosines

2

06:06

The Dot Product: Vector Angles

2

04:06

The Dot Product is Equal to Zero for Perpendicular Vectors

4

27:57

Geometric Interpretation of the Dot Product

3

13:56

Properties of the Dot Product

3

07:56

The Dot Product: Definition and Example

2

19:25

Properties of the Cross Product: Exercises 1 to 4

5

07:41

Application of the Cross Product: Torque

2

13:52

The Cross Product: Triple Products

2

18:05

Properties of the Cross Product

2

19:43

The Cross Product Length is the Area of a Parallelogram + Examples

3

03:31

Corollary: Two Vectors are Parallel If and Only If Their Cross Product is Zero

3

26:48

The Length of a Cross Product: Proof

2

18:48

The Cross Product in Determinant Form

4

01:52:04

Vectors and the Geometry of Space: The Dot Product