Vector Algebra and Analytical Geometry

A vector is an unique quantity that has:

• magnitude

• direction

• orientation

Examples of vectors

velocity, acceleration, weight

What are the two types of vectors?

position vectors and direction vectors

What is a scalar quantity?

A quantity that only has magnitude

Examples of scalars quantities

Time, mass, speed

Definition of a position vector

A vector that starts from the origin

Definition of direction vectors

A vector that doesn’t start from the origin

What is the magnitude of a vector?

|a| is called the magnitude of a

Three types of equations:

1. Parametric equations

2. Non-parametric equations

3. Linear equations

Parametric equation (λ)

g: X=x + λv

Non-parametric equation

ax + by = c

Linear equation

y = mx + c