# Simple Harmonic Motion Lecture 3: Vectors Definition Graphical addition and subtraction of vectors Unit vector notation Vector components, magnitude and direction

Addition and subtraction of vectors in unit vector notation Vectors A vector is a quantity that has size (magnitude) and direction. It can be symbolized by an arrow.

Length of the arrow represents magnitude Notation convention: denotes vector of magnitude *Sometimes bold-face type also indicates a vector hard to do in

handwriting Vector addition - graphically Vector subtraction - graphically

Unit vectors Unit vector notation

Vector components Vector components Unit vector notation

Magnitude and direction Example A displacement of 5 km is directed = 53 East of

South. What is the displacement vector in unit-vector notation? Example

Example Vector addition in components )

Vector subtraction in components =

) Example

Express the vectors and in unit vector notation in terms of and . Example with tilted coordinate system

N y P

x W

N P

y x

W