Searching for vectors

3

05:23

True-False Quiz Questions 19 to 21: When Dot and Cross Products Equal Zero

2

02:39

True-False Quiz Questions 15 and 16: Perpendicular Vectors to a Plane

1

08:49

True-False Quiz Questions 13 and 14: Dot and Cross Products with Repeating Vectors

53:42

Problems Plus 7: The Physics of a Block on an Inclined Plane

2

28:20

Problems Plus 6: Largest Sphere in a Sphere

1

22:36

Problems Plus 5: Infinite Sum of Vector Projections is a Geometric Series

2

53:33

Problems Plus 3: Line and Surface of Two Intersecting Planes

1

04:12:17

Vectors and the Geometry of Space: Problems Plus

1

14:52

Distance Between Intersecting Lines, Parallel Lines, and Skew Lines

1

01:34

Distance from a Point to a Plane using the Dot Product

2

02:10

Four Points are on a Plane if the Scalar Triple Product is Zero

1

03:33

Determining if 3 Points Lie on the Same Line Using the Cross Product

1

03:39

Determining Parallel and Perpendicular Vectors and Planes via the Cross and Dot Products

1

03:40

Vector, Parametric, and Symmetric Equations of a Line

1

01:14

Finding the Angle Between Two Intersecting Planes using the Dot Product of their Normal Vectors

2

11:40

The Cross Product and its Useful Properties

2

01:40

Scalar and Vector Projections: Formulas and Diagrams

6

09:44

The Dot Product and its Useful Properties

3

04:50

Vector Basics: Vectors, Scalars, Addition, and Scalar Multiplication

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

2

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

5

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