Quarter One Lesson Twenty-One Scalar and Vectors

Lessons that is helpful

4. VECTOR S
Lesson 2

5. Why do we
need
Directions?

6. Direction

7. Learning Objectives
1.recognize the vector quantities and its solving
methods
2.evaluate vector quantities using graphical
method (head-to-tail), (tail-to-tail) and analytical method,
and
3.actualize resourcefulness and intelligence by
performing graphical and/or analytical method
in finding the resultant vector

8. SCALAR
& VECTOR

9. SCALAR
QUANTITY THAT HAS A MAGNITUDE,
BUT NO DIRECTION

10. SCALAR
Time, mass, distance, length,
volume, temperature, and energy

11. HOWEVER...
GOING TO
PLACES?

12. VECTOR
QUANTITY WITH BOTH MAGNITUDE
AND DIRECTION

13. VECTOR
Displacement, velocity, weight,
position, force, and torque

14. VECTORS
In the language
of mathematics, physical
vector quantities are
represented by mathematical
objects called

15. VECTORS

16. VECTORS

17. VECTORS

18. COORDINATE
SYSTEM

19. Graphing of
VECTORS
•F
1 = 4 N in the positive x-direction
•F
2 = 2 N in the positive y-direction
Draw the following forces as vectors on the
Cartesian plane originating at the origin:
•F
3 = 3 N in the negative x-direction
•F
4 = 2 N in the negative y-direction

20. ADDING
VECTORS

21. ADDING
VECTORS
ADD QUANTITIES WITH THE SAME
DIRECTIONS
1.
FOR PARALLEL DIRECTIONS

22. ADDING
VECTORS
2. SUBTRACT QUANTITIES WITH
DIFFERENT DIRECTIONS
FOR PARALLEL DIRECTIONS

23. ADDING
VECTORS
3. USE Pythagorean
Theorem
FOR PERPENDICULAR DIRECTIONS

24. FINDING
REFERENCE
ANGLE
1.Q1 = as it is
2.Q2 = 180 -
3.Q3 = 180 +
4.Q4 = 360 -

25. FA#2
1.
2. 60 N 30 N
3.
4. 28 N 75 N
5. 45 N (N), 15 N (S)
DIRECTIONS: Solve for the following vectors and
indicate the direction. Box the final answer.
50 N 60 N

40 N

80 N

26. 6. A guy named Tahl Ohng travelled
towards the east coast with a force of
150 N. On his way he encountered a
huge wave making him turn towards
south with a force of 200. Get the
resultant force, angle of direction, and
the reference angle.
DIRECTIONS: Graph the given factor. Get the
resultant force, angle of direction, and reference
angle. SHOW your solution. (5 pts)

27. Ice Breaker:

28. MECHANICS: The game starts with
a random group saying “HEP HEP”.
The next group must say
“HOORAY” while the next group
must say “HEP HEP” again and so
on. The group who will make a
wrong response will loose.

29. A. Intensive and
Extensive
B. Intensive and Element
C. Extensive and Element
D. Compound and
Element
1.WHAT ARE THE TYPES OF PHYSICAL
PROPERTIES?
1

30. A. Method of seperating mixtures that used filter medium
that allows liquids to pass through.
B. Method that use spontaneous force to seperate
materials from the mixture
C. Method that converts liquid into vapor by heating
D. Involves carefully pouring off the liquid layer while
leaving the solid particles
2. WHICH DESCRIPTION FITS MECHANICAL
SEPERATION?
2

31. A. Structural Formula
B. Chemical Formula
C. Molecular Formula
D. Element Formula
3. IT IS THE WAY OF EXPRESSING IN SYMBOLS OF
ELEMENTS PRESENT IN A COMPOUND, AS WELL AS THE
NUMBER OF ATOMS OF EACH ELEMENT PRESENTED IN
THE COMPOUND
3

32. A. It is the atomic mass of any substances expressed in
grams
B. It is the molar mass of a substancethat is the sum of
the molar masses of each substances.
C. It is the ratio of each element's amount to the
compound's total amount of individual elements,
multiplied by 100
D. It is the term used to refer to the quantity of particles
of a substance
4. WHICH BEST DESCRIBES THE CONCEPT OF
PERCENTAGE COMPOSITION?
4

33. A. Ann doesn’t like moist lettuce, so she decided to use
her newly bought salad spinner to remove the water.
B. Jay was craving for tea, later on he made some for
him and his friends.
C. Jenny experimented if oil and water will be able to
mix weel with each other
D. Kopii is mixing two or more substances together
5. WHAT CERTAIN EVENT SHOULD HAPPEN IN
ORDER TO APPLY THE METHOD OF
CENTRIFUGATION?
5

34. Vector Review
Problem 1: An airplane is flying towards East
with a magnitude of 326 N. In an unexpected
circumstances the plane needs to make a turn
towards South with a magnitude of 229 N. Get
the resultant force of the two given, angle of
direction, and the reference angle.
Fr=
Ø=
Ør=

35. Vector Review
Problem 2: Compute for the resultant force,
angle of direction, and reference angle of a car
traveling towards West with a magnitude of
169 N and making a turn toward North with
magnitude of 98 N.
Fr=
Ø=
Ør=

36. 1.85 N (East) 97 N (South)
2. 120 N (West) 30 N (North)
LA#2
DIRECTIONS: Answer the following problems in
vectors. Graph the vectors and show your
solutions for each problem.

37. 3. A guy named Dodin Dadilla travelled
towards the east side with a force of 50
N. On his way he encountered a road
block making him turn towards north
with a force of 220 N. Get the resultant
force, angle of direction, and the
reference angle.

LA#2
DIRECTIONS: Answer the following problems in
vectors. GRAPH the vectors and SHOW your
solutions for each problem.