Vectors Finding Vector Components Contents Definition of vector

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

Vectors - What components are A: Y - Component X - Component TOC

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

Whiteboards: Writing the notation 1|2|3 TOC

3. 2 m 4. 5 m x + 3. 2 m y W

3. 9 m 1. 2 m -1. 2 m x + -3. 9 m y W

4. 1 m 1. 9 m -1. 9 m x + 4. 1 m y W

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

Vectors - Finding Components - step by step 12 m hyp opp 30 o 27 o adj 8. 0 m Step 1 – Draw components Tail to tip Use Arrows Step 2 – Find the lengths: adj = hyp Cosθ opp = hyp Sinθ Step 3 Decide x and y, + and – Step 4 Write the vector down

12 m hyp opp 27 o adj Step 1 – Draw Tail to tip Use Arrows Step 2 – Find the lengths: adj = hyp Cosθ opp = hyp Sinθ Step 3 Decide x and y, + and – Step 4 Write the vector down 30 o 8. 0 m

Vectors - Try this yourself 23. 0 m/s 31. 0 o 1. Draw the Components 2. Figure the components with sin and cos 3. Write the answer in VC Notation -11. 8 m/s x + 19. 7 m/s y TOC

Whiteboards: AM to VC 1|2|3|4|5 TOC

Step 1 – Draw Tail to tip Use Arrows 27. 0 m 32. 2 o Step 2 – Find the lengths: adj = hyp Cosθ opp = hyp Sinθ Step 3 Decide x and y, + and – Step 4 Write the vector down 22. 8 m x + 14. 4 m y W

Step 1 – Draw Tail to tip Use Arrows 27 o 42 m Step 2 – Find the lengths: adj = hyp Cosθ opp = hyp Sinθ Step 3 Decide x and y, + and – Step 4 Write the vector down 37 m x + -19 m y W

Step 1 – Draw Tail to tip Use Arrows 5. 0 m 77 o Step 2 – Find the lengths: adj = hyp Cosθ opp = hyp Sinθ Step 3 Decide x and y, + and – Step 4 Write the vector down -4. 9 mx + 1. 1 my W

Step 1 – Draw Tail to tip Use Arrows 38 o 110. 0 m Step 2 – Find the lengths: adj = hyp Cosθ opp = hyp Sinθ Step 3 Decide x and y, + and – Step 4 Write the vector down 68 m x + -87 m y W

Step 1 – Draw Tail to tip Use Arrows 30. 0 o 5. 0 m Step 2 – Find the lengths: adj = hyp Cosθ opp = hyp Sinθ Step 3 Decide x and y, + and – Step 4 Write the vector down -4. 3 m x + -2. 5 m y W

Step 1 – Draw Tail to tip Use Arrows 12. 0 m Step 2 – Find the lengths: adj = hyp Cosθ opp = hyp Sinθ Step 3 Decide x and y, + and – 52. 0 o -9. 46 m x +-7. 39 m y Step 4 Write the vector down W

Step 1 – Draw Tail to tip Use Arrows 41. 0 o 15. 0 m Step 2 – Find the lengths: adj = hyp Cosθ opp = hyp Sinθ Step 3 Decide x and y, + and – Step 4 Write the vector down 9. 84 m x +11. 3 m y W

Step 1 – Draw Tail to tip Use Arrows 7. 00 m 68. 0 o Step 2 – Find the lengths: adj = hyp Cosθ opp = hyp Sinθ Step 3 Decide x and y, + and – Step 4 Write the vector down -2. 62 m x + 6. 49 m y W