Slide

1. VECTOR

2. • A quantity stated only by the value of size, for example volume, mass,
temperature or pressure, is known as a scalar quantity. Size of the scalar
quantity is known as the magnitude of the scalar quantity.
• A quantity stated by the value of size (or magnitude) in a certain direction is
known as a vector quantity. For example, “a force of 5 N towards south”
is vector quantity where 5 N is the magnitude and towards south is the
direction of the vector.
Comparing and contrasting between vectors and scalars
and identifying a vector quantity a scalar quantity

3. • Sometimes, a quantity can exist as a scalar quantity or a vector quantity. For
example, “a speed of 5 m s-1 is a scalar quantity whereas “a velocity of 5
ms-1 towards north” is a vector quantity. Other examples include:
• A distance of 7 m is a scalar quantity whereas a displacement of 7 m
towards point O is a vector quantity.
• A mass of 50 kg is a scalar quantity whereas a weight of 500 N is a
vector quantity.
Comparing and contrasting between vectors and scalars
and identifying a vector quantity a scalar quantity

4. Can you differentiate between
distance and displacement?
Table shows the differences
between those quantities.

5. Representing vectors and determining the
magnitude and direction of a vector
Vector can be represented using a line segment with an arrow or better known
as directional line segment. The arrow represents the direction of the vector
while the length of the line represents the magnitude of the vector.
As an example, vector of a sailing boat moves 7 km to the east from point A
to point B can be represented by the directional line segment as shown in the
diagram on the right. Point A is the starting point and Point B is the terminal
point.

6. Representing vectors and determining the
magnitude and direction of a vector
Vector can also be represented with the notation as below:
Magnitude of the vector can be written as:

8. Making and verifying conjectures about the
properties of scalar multiplication on vectors

10. 1
2
PQ a

3
2
x a
 
7
4
y a
 
5
4
RS a


11. Making and verifying conjectures about parallel
vectors

15. ADDITION AND
SUBSTRACTION OF VECTORS

16. Determining addition and subtraction of vectors
to obtain a resultant vector.
Performing addition and subtraction a vectors to obtain a resultant vector

17. Determining addition and subtraction of vectors
to obtain a resultant vector.
Performing addition and subtraction a vectors to obtain a resultant vector

18. Determining addition and subtraction of vectors
to obtain a resultant vector.

19. Determining addition and subtraction of vectors
to obtain a resultant vector.