Working with Vectors

Gap-fill exercise

Fill in all the gaps, then press "Check" to check your answers. Use the "Hint" button to get a free letter if an answer is giving you trouble. You can also click on the "[?]" button to get a clue. Note that you will lose points if you ask for hints or clues!
A vector has value ( ) and whereas a only has value

e.g. vector: scalar: speed

Vector arrows
The of an arrow represents its value. The direction is important

Resultant
The value of more than one vector is found by vector addition .

e.g. A glider pilot flies at 12 m s-1 with a wind of 9m s-1. What is the resultant velocity if:

a) it is a tail-wind (behind him)?

b) it is a head-wind (against him)?

c) a cross-wind (at 90 degrees)?


Resolution of a vector into two components
This picture shows a force, F angle theta (q) to the horizontal:




The horizontal component is
The vertical component is

Reminder: SOHCAHTOA