1. Vectors - Finding Vector Components Contents:
Definition of vector components
Whiteboards: Writing the notation
How to find components
Whiteboard Am to VC

2. Vectors - What components are
Y - Component
X - Component
TOC

3. Vectors - What components are
Suppose A = 5 cm
Ay = 3 cm
Ax = 4 cm
A = 4 cm x + 3 cm y
(This is how you write it) ^
TOC

4. Whiteboards:
Writing the notation
1 | 2 | 3

5. 3.2 m
4.5 m
4.5 m x m y

6. 3.9 m
1.2 m
-1.2 m x m y

7. 4.1 m
1.9 m
-1.9 m x m y

8. Drawing the components
Whiteboards:
Drawing the components
1 | 2 | 3 | 4 | 5 | 6

9. Draw the components from the tail to the tip using arrows

10. Draw the components from the tail to the tip using arrows

11. Draw the components from the tail to the tip using arrows

12. Draw the components from the tail to the tip using arrows

13. Draw the components from the tail to the tip using arrows

14. Draw the components from the tail to the tip using arrows

15. Vectors - Try this yourself
Get out your calculator
type:
sin 90 <ENTER>
1????
If not
<2nd?> MODE
Cursor arrows to “Degree”
<ENTER> <CLEAR>
Try again (sin 90)

16. Vectors - Finding Components - step by step
Step 1: Draw the components
Use Arrows/Around angle
From tail to tip of vector
Step 2: Find the Adj and Opp sides:
A = (Hyp)Cos()
O = (Hyp)Sin()
Step 3: Write as components:
Decide x and y
Decide + and –
Write as ______ m x + ______ m y

17. 8.0 m
Step 1: Draw the components
Use Arrows/Around angle
From tail to tip of vector
Step 2: Find the Adj and Opp sides:
A = (Hyp)Cos()
O = (Hyp)Sin()
Step 3: Write as components:
Decide x and y
Decide + and –
Write as ______ m x + ______ m y

18. Vectors - Try this yourself
23.0 m/s
Draw the Components
Figure the components with sin and cos
Write the answer in VC Notation
 = = 121o
23cos(121) x + 23sin(121) y
x y
-11.8 m/s x m/s y

19. Whiteboards:
AM to VC
1 | 2 | 3 | 4 | 5

20. 27.0 km
32.2o
 = 32.2o
27.0cos(32.2) x sin(32.2) y
22.8 km x km y
22.8 km x km y

21. 77o 5.0 feet -5sin(77) x + 5cos(77) y -4.871850324 1.124755272
-4.9 ft x ft y
-4.9 ft x ft y

22. 27o
42 m
+42cos(27) x + -42cos(27) y
37 m x m y
37 m x m y

23. 38o
110.0 N
+110.0sin(38) x cos(38) y
N x N y
68 N x N y

24. 30.0o 5.0 m/s -5.0cos(30) x + -5.0sin(30) y -4.330127019 -2.5
-4.3 m/s x m/s y
-4.3 m/s x m/s y