• #### Components of Vectors

##### Science›Physics›Linear and Projectile Motion
Understanding the components of vectors.
• #### Components of a Force - Concept

##### Math›Precalculus›Vectors and Parametric Equations
How to define the components of a vector.
• #### Components of a Force - Problem 1

##### Math›Precalculus›Vectors and Parametric Equations
How to find the horizontal and vertical components of a force.
• #### Components of a Force - Problem 2

##### Math›Precalculus›Vectors and Parametric Equations
How to find the components of the weight of a block parallel to and perpendicular to the surface of an inclined plane.
• #### Components of a Force - Problem 3

##### Math›Precalculus›Vectors and Parametric Equations
How to use the component of an object's weight parallel to the surface of an inclined plane to find the weight of the object.
• #### 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>.
• #### Introduction to the 3D Coordinate System - Concept

##### Math›Precalculus›Vectors and Parametric Equations
How to define the components and length of a position vector in three dimensions.
• #### 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.
• #### Introduction to the 3D Coordinate System - Problem 3

##### Math›Precalculus›Vectors and Parametric Equations
How to find the components of a vector from point A to point B in three-dimensions, and how to find its length.
• #### 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 1

##### Math›Precalculus›Vectors and Parametric Equations
How to compute the difference of two vectors.
• #### 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 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.
• #### Isosceles Triangles - Concept

##### Math›Geometry›Triangles
How to define isosceles triangles, their components and how to determine their properties.