This Presentation can be used in Math, Physics and Geometry

1. What is the device use to
measure the angle?
PROTACTOR

2.  Are Vectors can be
measured through the
laws of sine and cosine?
• Yes, it can be measured
through the component
method using the laws
of sine and cosine.

3. OBJECTIVES:
1. Explain vector addition using Laws of sine and cosine.
2. Graph and the Compute the Resolution of Vectors.
3. Show honesty and accuracy in solving the problem.

4. Presentation of Sample Problem.
• Juan walks 5.0 m, 37° north of
west. Find the (a) horizontal and
(b) vertical components of his
displacement.

5. Given:
V= 5.0 m, 37° north of west
Formula:
Horizontal Component:
Vx=VcosꝊ
Vertical Component:
Vy=VsinꝊ

6. Solution
Vx=VcosꝊ
=5.0 m (cos37°)
=-3.99 or -4 m
Vy=VsinꝊ
=5.0 m (sin37°)
=3.00 or 3m

7. Formula:
Horizontal Component:
Vx=VcosꝊ
Vertical Component:
Vy=VsinꝊ

8. • What is Resolution?
• The process of splitting the vector into its
components.

9. • Rule
• The signs of the horizontal
and vertical components of
the given vector must also
taken into consideration,
depending on the quadrant
where the vector lies.

10. What is horizontal component?
• The component along x-axis.
What is vertical component?
• The component along y-axis.

11. Group Activity
Group 1: Sally runs 3km, 40° North of east, find
the horizontal and vertical components of
the displacements.
Group 2: Gary walks 4km, 47° South of east.
What is his horizontal and vertical
component?
Group 3: Abby jogs at 4km, south. What is her
horizontal and vertical components/
Group 4: Luc give his dog a walk for 5 km, 50°
South of west. What is he and his dog
horizontal and vertical component?

12. RUBRICS
POINTS CRITERIA
15 Answer the problem correctly, clearly explain the
solution to the Vector Addition and cooperation of
members is observed.
14 Answer the problem correctly, explain the solution to
the Vector Addition but some of the members didn’t
cooperate.
13 Did not answer the problem correctly, explain the
solution to the Vector Addition and most of the
members didn’t cooperate.

13. SOLUTION:
1. Vx=VcosꝊ
=3 km (cos40°)
=2.30 km
Vy=VsinꝊ
=3 km (sin40°)
=1.93 km

14. SOLUTION:
2. Vx=VcosꝊ
=4 km (cos47°)
=2.73 km
Vy=VsinꝊ
=4 km (sin47°)
=-2.93 km

15. SOLUTION:
3. Vx=VcosꝊ
=4 km (cos90°)
=0 km
Vy=VsinꝊ
=4 km (sin90°)
=-4 km

16. SOLUTION:
4. Vx=VcosꝊ
=5 km (cos50°)
=-3.21km
Vy=VsinꝊ
=5 km (sin50°)
=-3.83 km

17. QUESTION OF THE DAY
• Who among you are license drivers?
• What are the road signs that shows
direction?

21. What is the formula in getting the x
and y component of the vectors?
Horizontal Component:
Vx=VcosꝊ
Vertical Component:
Vy=VsinꝊ

22. Assessment:
Solve the ff. problem.
• Ana runs4.00 m, 40.0° north of east;
2.00 m east; 5.20 m, 30.0° south of
west and 6.50 m south before
stopping for water break. Find her
resultant displacement from where
she started.

23. SOLUTION:

26. Assignment:
• Vector A of 5.0 units has a horizontal
component of 2.0 units.
• (a)Find the angle that vector A makes
with the horizontal.
• (b) determine the vertical component
of vector A.