```FAD -01
Vectors
Vector or Scalar
• A vector quantity has both direction and
magnitude (size).
• In contrast a scalar quantity has
magnitude only
We use Arrows to Draw Vectors
• They have a Head and Tail
How are vectors drawn?
• The length of the vector
arrow is used to
represent its size (in this
case 316N).
• The direction of the
arrow is measured as
we would any other
direction (in this case by the angle, which is
35˚ North of East)
Adding Force Vectors on the ‘Force
Table’
What forces are acting on the
climber?
to tail
R=0
Reaction Force of rock
on climber
Resultant force?
Gravitational pull
of Earth on climber
Adding Velocity Vectors in a Line
Adding Velocity Vectors in a Line
Some more examples
Remember: the
resultant vector
could be negative
(or in this case to
the left)
Resultant Vector
• When we add two or more vectors, it is
absolutely crucial to take the direction of the
vectors into account.
• The process of adding two or more vectors is
known as finding the RESULTANT of the
vectors.
• The resultant of two or more vectors is the
single vector that could replace those
vectors and still have the same effect in
terms of both magnitude and direction.
Perpendicular Vectors
• Things are slightly more complicated when
vectors are not in a straight line. For
example, when vectors are perpendicular
to each other.
Are these planes experiencing a
tail wind, head wind or cross wind?
tail wind, head wind or cross wind?
What’s happening?
Another Example
What forces
are acting on
the climber?
Pull of rope
on climber
Reaction force of rock
on climber
Gravitational pull
of earth on climber
The sum of
these vectors is
zero
The man is in
Equilibrium
Order in which the vectors are
Horse towing a canal boat
Pull of horse on boat
Reaction force
of water on rudder
Resultant vector
An imaginary vector which has the
same effect as other vectors
Regroup!!
• Finalise your vector scalar groups
• Copy these two groups into your notes
Scalar
Vector
Speed
Displacement
Distance
Acceleration
Time
Velocity
Mass
Force
Energy
Momentum
Temperature
Moment
Volume
Current
Density
Frequency
Charge
Power
Resistance
Activity
Pressure
Base
One
• Draw a route from
Home Base to
Base One.
• Rule 1 – You can
only move
horizontally or
vertically
• Rule 2 – Each
section must be a
whole numbers of
squares.
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