1.9 Vector Components 1. Break each vector down into an x-component and a y-component Sine : b. C. H (c) b) Ady : Adsin O (a) sin 9 - sd Ad = 40 km 650 -E 20 kmsin 50 3d = 20 km - E 50% WE LOSE - A 80 W H Ad = 15 km :$ 1632 km Ady = 1.5 km [ N ] 2. Draw these vectors RX : Ay + By + cy - a. A=5.5cm [E20 N] :20 km (os 50 b. B=1.8 cm[$60 w] = 12 855 km Ry : Ay * By+cy c. C= 2.5 cm [W 20 N] =13 kem [W] 2: 21, 2 2 3. Using the vectors from question 2: Find the x and y components of each vector tand = b. Find the resultant x component of the vectors (Calculate the total x component of all three vectors) c. Find the resultant y component of the vectors (Calculate the total y component of all three vectors) d. Use trig and Pythagorean theorem to find the magnitude and direction of R (total resultant vector) 4. Find the sum of the two vectors using the components method. a. 8m [N] & 5m [E30 N] b. 200m [S20.W] & 15m [N20 w] 5. A car is driven 80 km West and then 30 km [W 45 S]. What is total displacement of the car? 6. What is the total displacement from a boat that sails 200.0 m [S 25. W] and then tracks (changes course) and sails 150.0 m [N 30% E]? Solutions 1. a. 13 km [W], 15 km [N] b. 2.6 km [W], 15 km [S] C. 36 km [E], 17 km [N] a. A =5.17 [E], A, =1.88 [N]; B,=1.56[W], By=0.9[s]; C,=2.35[W],C,=0.86[N] b. R.=-1.26[W]v 1.26 [E] C . R,=1.84 [N]V-1.84 [S] d. R=2.23 [E55. N] 4. a. 11.35 m [E 680 N] b . 188.8 m [W 67 S] 5. 103.4 km [W 120 S] 6. 52.23 m [$ 110 W]