12 Videos for "component form"

Algebraic Representation of Vectors  Concept
Math › Precalculus › Vectors and Parametric Equations
How to express a position vector algebraically in component form <a,b>, and how to compute its magnitude. 
Algebraic Representation of Vectors  Problem 1
Math › Precalculus › Vectors and Parametric Equations
How to express a vector from point Q to point R algebraically in component form <a,b>. 
Unit Vectors  Problem 1
Math › Precalculus › Vectors and Parametric Equations
How to convert a vector into component form when it is expressed in terms of the unit vectors i and j. 
Addition and Scalar Multiplication of Vectors  Concept
Math › Precalculus › Vectors and Parametric Equations
How to compute the sum of two vectors or the product of a scalar and a vector. 
Addition and Scalar Multiplication of Vectors  Problem 3
Math › Precalculus › Vectors and Parametric Equations
How to compute the difference of two vectors. 
Addition and Scalar Multiplication of Vectors  Problem 1
Math › Precalculus › Vectors and Parametric Equations
How to compute the difference of two vectors. 
Addition and Scalar Multiplication of Vectors  Problem 2
Math › Precalculus › Vectors and Parametric Equations
How to compute the difference of two vectors using scalar multiplication to take the opposite vector. 
The Dot Product of Vectors  Concept
Math › Precalculus › Vectors and Parametric Equations
How to compute the dot product of two vectors. 
The Dot Product of Vectors  Problem 1
Math › Precalculus › Vectors and Parametric Equations
How to compute the dot product of two vectors, and how to demonstrate that the dot product is commutative. 
The Dot Product of Vectors  Problem 2
Math › Precalculus › Vectors and Parametric Equations
How to compute the dot product of two vectors, and how to demonstrate that the dot product distributes over addition. 
The Dot Product of Vectors  Problem 3
Math › Precalculus › Vectors and Parametric Equations
How to prove that the dot product uu of a vector with itself equals the square of its magnitude abs(u)^2. 
Unit Vectors  Concept
Math › Precalculus › Vectors and Parametric Equations
How to express a vector algebraically in terms of the unit vectors i and j.