Flipping Physics
Work done by a Spring - Deriving Elastic Potential Energy
When we place a 1.00 kg mass on a spring, the end of the spring moves from the 34.4 cm mark to the 30.2 cm mark and comes to rest. (a) What is the spring constant of the spring? (b) What is the work done by the spring on the mass? Want...
msvgo
Types of Vectors
It discusses different types of vectors – zero, unit, co-initial, equal and negative.
Brian McLogan
Finding the dot product of two vectors
Learn how to determine the dot product of vectors. The dot product of two vectors also called the scalar product of the vectors is the sum of the product of the components of the vectors in each direction. When the magnitudes of the...
Brian McLogan
How to tell if the two vectors are parallel, orthogonal or neither
How to tell if the two vectors are parallel, orthogonal or neither
Flipping Physics
Gauss's Law - Point Charge Electric Flux
In this video, we learn how to determine the electric flux through a sphere that surrounds a positive point charge. We start by discussing the equation for electric flux and how it applies to uniform electric fields. We then move on to...
Flipping Physics
Electromagnetic Induction - Review for AP Physics C: Electricity and Magnetism
AP Physics C: Electricity and Magnetism review of electric flux to understand magnetic flux, an example of magnetic flux through a current carrying wire loop, Gauss’s Law for Magnetism, electromagnetic induction, Faraday’s law, Lenz’s...
Brian McLogan
How to apply operations with vectors including the dot product
In this video series you will learn multiple math operations. I teach in front of a live classroom showing my students how to solve math problems step by step. My math tutorials should be used to review previous lessons, complete your...
Flipping Physics
Power using Derivative and Unit Vectors - Example
Example: A 0.280 kg object has a position described by the function, position as a function of time equals 5.00 t^3 - 8.00 t^2 - 30.0 t meters. What is the net power being delivered to the object at 2.00 seconds? Want Lecture Notes?...
Zach Star
This is why you're learning differential equations
This is why you're learning differential equations
Zach Star
The real world applications of the dot product
The real world applications of the dot product
Curated OER
Finding the Dot Product
Are you just starting a unit of vectors or matrices? Help your class learn how to find the dot product with this simplistic video tutorial. The procedure is shown as the tutor determines the dot product of A and B by transposing numbers...
Khan Academy
Khan Academy: Linear Algebra: Transpose of a Vector
Video demonstrating that the dot product of two vectors is equivalent to the matrix product of the transpose of the first vector times the second vector. Uses this idea to show that the dot product of a matrix-vector product and another...
Khan Academy
Khan Academy: Linear Algebra: Determinant and Area of a Parallelogram
Video demonstrating that the area of a parallelogram created by graphing the column vectors of a 2x2 matrix is the equivalent to the absolute value of the determinant of the matrix. Pythagorean theorem, in conjunction with calculating a...
Khan Academy
Khan Academy: Linear Algebra: Proof of the Cauchy Schwarz Inequality
Video first explains what the Cauchy-Schwarz inequality is and then shows a proof of it. [16:55]
Khan Academy
Khan Academy: Linear Algebra: Proving Vector Dot Product Properties
Video shows proofs of vector dot product properties. Proves vector dot products hold true under the commutative, distributive and associative properties. [10:45]
Khan Academy
Khan Academy: Linear Algebra: Dot and Cross Product Comparison/intuition
Video first reviews how to find the angle between two vectors, as well as restating the relationship between the cross product and the sine of that angle. Then gives an intuition of what the dot product and the cross product represent....
Khan Academy
Khan Academy: Linear Algebra: Dot and Cross Product Comparison/intuition
Video gives an intuition of what dot product and cross product represent. Also gives a comparison between cross product and dot product of vectors and how they are related. Shows which angles maximize the cross product and dot product....
Khan Academy
Khan Academy: Linear Algebra: Vector Dot Product and Vector Length
Video first reviews vector addition and multiplying by a scalar multiple. Gives notation for dot product and shows example of calculating the dot product of vectors. Then gives the formula for vector length and gives examples of using...
Khan Academy
Khan Academy: Linear Algebra: Vector Triangle Inequality
Video first reviews the Cauchy-Schwarz inequality. Then shows a proof of the triangle inequality for vectors and relates it to the triangle inequality from 2-dimensional geometry. [18:53]
Khan Academy
Khan Academy: Linear Algebra: Matrix Vector Products
Video starts with reviewing matrix notation. Defines multiplying a matrix by a vector and shows examples. Shows how the matrix-vector products can be interpreted as the dot product of column vectors with a matrix or as a weighted linear...
Khan Academy
Khan Academy: Linear Algebra: Vector Triangle Inequality
Video first reviews the Cauchy-Schwarz Inequality the shows a proof of the Vector Triangle Inequality and relates it to the Triangle Inequality from 2-dimensional Geometry. [18:53]
Khan Academy
Khan Academy: Vector Dot and Cross Products: Vector Triangle Inequality
Thi videoreviews the Cauchy-Schwarz inequality and then shows a proof of the triangle inequality for vectors and relates it to the triangle inequality from 2-dimensional geometry.