## Finding the Intersection Point of a Line and a Plane

We do an example of finding the intersection point of a Line and a Plane in 3 dimensions....

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We do an example of finding the intersection point of a Line and a Plane in 3 dimensions....

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An example of finding the equation of a line in 3 dimensions. This video illustrates the general method you can always use to find the equation of a line....

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In this video we derive the vector and parametic equations for a line in 3 dimensions. We then do an easy example of finding the equations of a line....

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The second video on using synthetic division to factor a cubic polynomial....

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We use synthetic division to factor a cubic polynomial. For more practice using synthetic division please watch this video: Synthetic Division 2: http://youtu.be/1fVLzH78A1Y...

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In this video we learn a more general method for factoring a cubic polynomial if we are given one of it's roots. For the next video on factoring a cubic polynomial: Synthetic Division: http://youtu.be/aGpsjErdPnU...

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http://www.rootmath.org | Multivariable Calculus We find the vector between two points and then we find its length...

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http://www.rootmath.org | Multivariable Calculus We draw comparisons between single variable calculus and multivariable calculus to get a general overview of how the course will progress....

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http://www.rootmath.org | Algebra Subtraction is a very poorly behaved operation. It isn't commutative and it isn't associative. But we can force it to be have by turning subtraction into addition! a - b = a + (-b)...

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http://www.rootmath.org | Algebra Subtraction is a very poorly behaved operation. It isn't commutative and it isn't associative. But we can force it to be have by turning subtraction into addition! a - b = a + (-b)...

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http://www.rootmath.org | Algebra Welcome to the Algebra course. We'll get started by introducing variables and seeing examples of them in simple equations....

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http://www.rootmath.org | Algebra Welcome to the Algebra course. We'll get started by introducing variables and seeing examples of them in simple equations....

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http://www.rootmath.org | Algebra In this video we'll review important sets of numbers: Natural Numbers Integers Rational Numbers Real Numbers Complex Numbers...

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http://www.rootmath.org | Algebra In this video we'll review important sets of numbers: Natural Numbers Integers Rational Numbers Real Numbers Complex Numbers...

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http://www.rootmath.org | Algebra In this video we learn the commutative property of addition and multiplication. The commutative property tells us that it doesn't matter which order we add or multiply in. We can right this rule like this: a + b = b +...

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http://www.rootmath.org | Algebra In this video we learn the commutative property of addition and multiplication. The commutative property tells us that it doesn't matter which order we add or multiply in. We can right this rule like this: a + b = b +...

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http://www.rootmath.org | Algebra This will be a review of how fractions cancel. Understanding these basic rules now will make everything easier later on in the course when things get more complicated....

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http://www.rootmath.org | Algebra This will be a review of how fractions cancel. Understanding these basic rules now will make everything easier later on in the course when things get more complicated....

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http://www.rootmath.org | Algebra The associative property tells us that is doesn't matter how we group addition or multiplication. The property can be written like this: a + (b + c) = (a + b) + c a(bc) = (ab)c...

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http://www.rootmath.org | Algebra The associative property tells us that is doesn't matter how we group addition or multiplication. The property can be written like this: a + (b + c) = (a + b) + c a(bc) = (ab)c...

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http://www.rootmath.org | Algebra Multiplying fractions is the easiest thing to do with fractions! This will be a quick review of how fractions multiply. We'll use this throughout the algebra course....

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http://www.rootmath.org | Algebra Multiplying fractions is the easiest thing to do with fractions! This will be a quick review of how fractions multiply. We'll use this throughout the algebra course....

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http://www.rootmath.org | Welcome Welcome to RootMath.org. We hope you enjoy learning math from us!...

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http://www.rootmath.org http://www.rootmath.org/calculus/epsilon-delta-limit-definition This is an advanced example of proving a limit using the epsilon-delta definition....

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http://www.rootmath.org http://www.rootmath.org/calculus/epsilon-delta-limit-definition This is an advanced example of proving a limit using the epsilon-delta definition....

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http://www.rootmath.org | Linear Algebra In this video we'll define R^n. This will hopefully put us on the same page for notation that is coming up in the course....

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http://www.rootmath.org | Linear Algebra In this video we'll define R^n. This will hopefully put us on the same page for notation that is coming up in the course....

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http://www.rootmath.org | Linear Algebra We derived the length of vectors with 2 and 3 components using the Pythagorean Theorem. Now will will extend the notion of vector length to higher dimensions....

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http://www.rootmath.org | Linear Algebra We derived the length of vectors with 2 and 3 components using the Pythagorean Theorem. Now will will extend the notion of vector length to higher dimensions....

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http://www.rootmath.org | Linear Algebra This is a proof that vector addition is commutative and associative. The proof relies on the same properties for the real numbers....

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http://www.rootmath.org | Linear Algebra This is a proof that vector addition is commutative and associative. The proof relies on the same properties for the real numbers....

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http://www.rootmath.org | Linear Algebra We'll look at how to graph vectors with 3 components using 3-dimensional axes....

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http://www.rootmath.org | Linear Algebra We'll look at how to graph vectors with 3 components using 3-dimensional axes....

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http://www.rootmath.org | Linear Algebra This will be a basic introduction to vectors. Vectors communicate 2 pieces of information, direction and length. Graphically we represent vectors with an arrow, and structurally we represent vectors with their c...

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http://www.rootmath.org | Linear Algebra This will be a basic introduction to vectors. Vectors communicate 2 pieces of information, direction and length. Graphically we represent vectors with an arrow, and structurally we represent vectors with their c...

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http://www.rootmath.org | Linear Algebra Vectors are added by adding corresponding components. Graphically we add vectors with a "head to tail" approach....

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http://www.rootmath.org | Linear Algebra Vectors are added by adding corresponding components. Graphically we add vectors with a "head to tail" approach....

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http://www.rootmath.org | Linear Algebra In this video we learn 2 important things: 1. Vectors are uniquely determined by their components. 2. Vectors are independent of their position in the plane. This means that vectors with the same components are ...

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http://www.rootmath.org | Linear Algebra In this video we learn 2 important things: 1. Vectors are uniquely determined by their components. 2. Vectors are independent of their position in the plane. This means that vectors with the same components are ...

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http://www.rootmath.org | Linear Algebra To find the length of a vector we simply use the Pythagorean Theorem. The components of a vector form the base and height of a right triangle. The length of the vector is simply they hypotenuse of that triangle....

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http://www.rootmath.org | Linear Algebra To find the length of a vector we simply use the Pythagorean Theorem. The components of a vector form the base and height of a right triangle. The length of the vector is simply they hypotenuse of that triangle....

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http://www.rootmath.org | Linear Algebra When you multiply a vector by a scalar you simply multiply each component by that scalar. Since we can multiply a vector by -1 we can have -v. With this we have the tools we need to talk about vector subtraction...

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http://www.rootmath.org | Linear Algebra When you multiply a vector by a scalar you simply multiply each component by that scalar. Since we can multiply a vector by -1 we can have -v. With this we have the tools we need to talk about vector subtraction...

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http://www.rootmath.org | Linear Algebra u - v = u + (-v) Since we know how to add vectors and multiply by negative one, we can also subtract vectors. Vector subtraction has geometric significance that we will utilize in a later video....

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http://www.rootmath.org | Linear Algebra u - v = u + (-v) Since we know how to add vectors and multiply by negative one, we can also subtract vectors. Vector subtraction has geometric significance that we will utilize in a later video....

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http://www.rootmath.org | Linear Algebra In this video we'll derive a formula for finding the length of a 3-dimensional vector. We'll also briefly discuss how to find the length of a vector with more than 3 components....

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http://www.rootmath.org | Linear Algebra In this video we'll derive a formula for finding the length of a 3-dimensional vector. We'll also briefly discuss how to find the length of a vector with more than 3 components....

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http://www.rootmath.org | Algebra An introduction to adding fractions. We'll look at the easy case of adding fractions with a common denominator and we'll also see why we can't add fractions with different denominators....

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