Topic 4 – Core: Vectors

Vectors

1. What is a vector and a scalar quantity?
2. Equal and negative vectors
3. Magnitude of a 2 dimensional vector

Scalar Product (Dot Product)

1. Exam Questions - Scalar product

Vector Equations of Lines

1. Vector equation of a line
2. Angle between two lines
3. Parallel lines
4. Intersecting and skew lines
5. Exam Questions - Parallel intersecting and skew lines

Vector Product

1. Applications : Area of a triangle and parallelogram

Triple Scalar Product

Lines

1. Cartesian form of a line

Planes

1. Parametric vector form of a plane
2. Scalar product forms of a plane
3. Cartesian form of a plane
4. Finding the point of intersection between a line and a plane
5. The equation of the line of intersection between two non parallel planes
6. The angle between two planes

Velocity Vectors

1. Calculating a speed and bearing
2. Calculating a velocity given speed and direction
3. Calculating the position vector after time t
4. Constant velocity as the rate of change of position vectors
5. Exam Questions - Velocity vectors

Constant Acceleration Vectors