3 Magnitude : size/length A Vector is a directed line segment that has two and only two defining characteristics:Magnitude : size/lengthDirection: direction from one place to another (has 2 parts – an angle and a cardinal direction)The notation of a vector is a single letter in bold (v or u, etc) or a single letter with an arrow on topVectors with the same properties are equal, even if they are not in the same location.
4 Vectors are made up of the Horizontal (x) and Vertical (y) Components Express the vector coordinates below as ordered pairs in simplest radical form.
5 Find the horizontal and vertical components of the vector:
6 Find the horizontal and vertical components of the vector:
7 If a position vector has length 8 cm and direction 60°SW, then find the horizontal & vertical components.
10 The new vector is called the resultant or displacement vector. Vector OperationsTo add vectors in component form, just add the horizontal components and the vertical components.To add vectors graphically, just play “follow the leader.” Then draw a new vector from the start of the first to the end of the second.The new vector is called the resultant or displacement vector.
11 To multiply a vector by a scalar (constant), just distribute the number to both coordinates. Graphically, you make the vector that many times as long in the same directionTo make a negative vector (for subtraction) just distribute a negative.Graphically, you have the same slope and magnitude. You just go in the opposite direction.