Instructional Video
Sophia Learning

Sophia: Vectors & Scale Factors: Lesson 2

9th - 10th
This lesson explains the importance of scale when drawing vectors. It is 2 of 2 in the series titled "Vectors & Scale Factors."
Instructional Video
Sophia Learning

Sophia: Vectors & the Coordinate System: Lesson 2

9th - 10th
This lesson demonstrates how to represent vectors using a coordinate system. It is 2 of 2 in the series titled "Vectors & The Coordinate System."
Instructional Video
Sophia Learning

Sophia: Vectors & the Coordinate System: Lesson 1

9th - 10th
This lesson demonstrates how to represent vectors using a coordinate system. It is 1 of 2 in the series titled "Vectors & The Coordinate System."
Instructional Video
Sophia Learning

Sophia: Vector Subtraction: Lesson 2

9th - 10th Standards
This lesson introduces subtraction operations in vectors. It is 2 of 5 in the series titled "Vector Subtraction."
Instructional Video
Sophia Learning

Sophia: Adding Vector Components: Lesson 2

9th - 10th
This lesson demonstrates how to add vector components. It is 2 of 2 in the series titled "Adding Vector Components."
Instructional Video
Sophia Learning

Sophia: Adding Vector Components: Lesson 1

9th - 10th
This lesson demonstrates how to add vector components. It is 1 of 2 in the series titled "Adding Vector Components."
Instructional Video
Sophia Learning

Sophia: Adding Vectors Using the Parallelogram Rule: Lesson 1

9th - 10th
This lesson demonstrates how to add vectors using the parallelogram rule. It is 1 of 2 in the series titled "Adding Vectors Using the Parallelogram Rule."
Instructional Video
Sophia Learning

Sophia: Combining Non Parallel Vectors: Lesson 2

9th - 10th
This lesson explains how to combine non-parallel vectors. It is 2 of 2 in the series titled "Combining Non-Parallel Vectors."
Instructional Video
Sophia Learning

Sophia: Combining Non Parallel Vectors: Lesson 1

9th - 10th
This lesson explains how to combine non-parallel vectors. It is 1 of 2 in the series titled "Combining Non-Parallel Vectors."
Instructional Video
Sophia Learning

Sophia: Finding the Cross Product of Vectors: Lesson 5

9th - 10th
This lesson demonstrates how the cross product of two vectors is found. It is 5 of 9 in the series titled "Finding the Cross Product of Vectors."
Instructional Video
Sophia Learning

Sophia: Finding the Initial Point of a Vector: Lesson 1

9th - 10th
This lesson shows how to find the initial point of a vector. It is 1 of 7 in the series titled "Finding the Initial Point of a Vector."
Instructional Video
Sophia Learning

Sophia: Multiplying 3 Vectors by a Scalar: Lesson 4

9th - 10th Standards
This lesson explains how to multiply a 3-vector by a scalar. It is 4 of 7 in the series titled "Multiplying 3-Vectors by a Scalar."
Instructional Video
Sophia Learning

Sophia: Multiplying Vectors by a Scalar: Lesson 5

9th - 10th Standards
This lesson demonstrates scalar multiplication with vectors. It is 5 of 7 in the series titled "Multiplying Vectors by a Scalar."
Instructional Video
Sophia Learning

Sophia: Representing Forces on an Inclined Plane: Lesson 1

9th - 10th
This lesson demonstrates how to draw free-body diagrams for objects at rest or sliding on an inclined plane. It is 1 of 2 in the series titled "Representing Forces on an Inclined Plane."
Instructional Video
Sophia Learning

Sophia: Vectors & Scale Factors: Lesson 1

9th - 10th
This lesson explains the importance of scale when drawing vectors. It is 1 of 2 in the series titled "Vectors & Scale Factors."
Instructional Video
Sophia Learning

Sophia: 3 Space: Lesson 3

9th - 10th
This lesson introduces the concept of a 3-space vector. It is 3 of 4 in the series titled "3-Space."
Instructional Video
Sophia Learning

Sophia: 3 Space: Lesson 4

9th - 10th
This lesson introduces the concept of a 3-space vector. It is 4 of 4 in the series titled "3-Space."
Instructional Video
Sophia Learning

Sophia: Cross Product

9th - 10th
This lesson introduces the cross product
Instructional Video
Sophia Learning

Sophia: Dot Product of 3 Vectors

9th - 10th
This lesson introduces the dot product of 3-vectors.
Instructional Video
Sophia Learning

Sophia: Unit Vectors: Lesson 1

9th - 10th
This lesson introduces unit vectors. It is 1 of 5 in the series titled "Unit Vectors."
Instructional Video
Sophia Learning

Sophia: Vector Angle Formula: Lesson 4

9th - 10th
This lesson introduces the vector angle formula. It is 4 of 7 in the series titled "Vector Angle Formula."
Instructional Video
Sophia Learning

Sophia: Vector Components: Lesson 2

9th - 10th
This lesson discusses the components of a vector. It is 2 of 5 in the series titled "Vector Components."
Instructional Video
Sophia Learning

Sophia: Vector Notation: Lesson 4

9th - 10th Standards
In this lesson, students see how to indicate a vector through proper notation. It is 4 of 7 in the series titled "Vector Notation."
Instructional Video
Sophia Learning

Sophia: Vectors and Tensors: Lesson 4

9th - 10th Standards
In this lesson, students are introduced to vectors and tensors, and their significance when working with matrices. Students should be familiar with the concept of a matrix before beginning this lesson. It is 4 of 4 in the series titled...