Components Magnitude and Directions of Vectors

Vector is a quantity with:

• magnitude and direction

• magnitude

• direction

• none of the above

A vector has...

• two components (x and y)

• one component (y)

• one component (x)

• length and degrees

What is the magnitude of a vector?

• Length

• Starting point

• Head

• Angle

Definition: The length of the vector

• Magnitude

• Direction

• Vector Operations

• Dot Product

In practice A of the figure, what is the direction of the resultant displacement?

• 63 degrees, South of East

• 63 degrees, North of West

• 27 degrees, North of West

• 27 degrees, South of West

Given an initial point A ( 2, 4 ) and terminal point B ( -8, 7 ), find the component form of the vector AB.

• 〈-10,3〉

• 〈-6,3〉

• 〈10,11〉

• 〈-6,-3〉

Component Form

• <-3, -7>

• <3, -7>

• <-3, 7>

• <7, 3>

Find the resultant vector.

• <5, 3>

• <1, 7>

• <7, 1>

• <3, 5>

Determine the components of the vector:

• <5, 8.7>

• <8.7, 5>

• <59.1, 10.4>

• <10.4, 59.1>

A car travels 90 meters due north in 15 seconds. Then the car turns around and travels 40 meters due south.  What is the magnitude and direction  of the car's resultant displacement?  

• 40 metres, South

• 50 metres, South

• 50 metres, North

• 40 metres, North