kagey4ma1 Answered 35 minutes ago a. the annotated vector maps (in both satellite and map) view are provided below The raw data from CSV file obtained is Course/ Point Point/Center Point/Center Distance/ Azimuth Total Distance Circle # # Latitude Longitude Radius /Circumference 1 O 13.94188 121.1644 7 13.95656 121.2037 4.544131 68.95418 4.544131 7 2 13.96289 121.1742 3.260783 282.4618 7.804913 1 3 13.95689 121.1344 4.350668 261.1938 12.15558 2 O 13.94188 121.1644 2 13.95689 121.1344 3.646641 297.233 3.646641 b. The magnitude of resultant vector is 3.65 km and its direction is 297.2" with respect to x-axis by polygon method c. The magnitude of resultant vector is 3.65 km and its direction is 297.3" with respect to x-axis by component methoda. Vector Map The vector maps with annotated displacement vectors joining different community places are provided below. Satellite View: Balete, Lipa STAR Map Satellite Tollway exit (Autosweep) INOSLUBAN St. Therese of the Child + S&R Membership Jesus and the Holy.. Shopping BRGY. TAI Clear All Mount Malarayat Golf and Country Club Erase last Land Transportation Office Lipa City. Start a Course C Orchard Estate MARAWOY FIEST MALL b Start a Circle Lipa City Hall 17 San isidro Parish BULACNIN Church - Lipa City San Isids SM City Lipa Munting pulo LIPA CITY E2 Sampaguna St BALINTAWAK Liam's Lomi House Pueblo del Amo Philippine Red Resort Lipa Batanga Cross Lipa Branch is exQueSeg dV r SICO TAMBO Puregold Lina ando Air Robinsons Lipa a e Golf Course pa city Xax MATAAS gob Lipa City Casa De Segunda nes Our Lady Of Mount Lipa City Carmel Church AA COBRA + Community Penelope's Se una'St Park Rose Villas Resort Google Latag Elementary School Amiya Rosa Phase 2 Keyboard shortcuts | Map data @2022 Imagery @2022, CNES / Airbus, Landsat / Copernicus, Maxar Technologies | Terms of Use Map View:Balete, Lipa STAR Map Satellite Tollway exit (Autosweep) INOSLUBAN St, Therese of the Child S&R Membership Jesus and the Holy.. Shopping BRGY. TA Clear All Mount Malarayat Golf X and Country Club Erase last Land Transportation Office Lipa City.. Start & Course C MARAWOY Orchard Estate b Start a Circle Lipa City Hall X San leidro Parish BULACHIN Church - Lipa Cit San isco SM City Lipa Munting pule LIPA CITY sampaguita St BALINTAWAK Liam's Lomi House Pueblo del Amo Philippine Red Resort Lipa Batanga Cross Lipa Branch r CO TAMBO Puregold Lina D.P. LEYGO S nando Air Robinsons Lipa a he Golf Course Lipa Cay MATAAS gob Lipa City nes NA LUPA Case De Segunda Our Lady Of Mount Lipa City Carmel Church AA COBRA Community Park Penelope's Se Rose Villas Resort Latag Elementary School to Villa barat s Amiya Rose Phase 2 + Keyboard shortcuts Map data $2022 Terms of Use Data Table : Course/ Circle # Point # Point/Center Latitude Point/Center Longitude| Distance/ Radius Azimuth Total Distance /Circumference 1 13.941876 121.1644198 1 1 13.9565584337681 121.203746795654 4.54413084139205 68.9541814609871 4.54413084139205 N 13.9628889089412 121.174221038818 3.26078254335619 282.461807553226 7.80491338474824 1 13.9568916210063 121.134352684021 4.35066844396815 261.193775206714 12.1555818287164 2 0 13.941876 121.1644198 2 13.9568916210063 121.134352684021 3.64664133805948 297.23301563167 3.64664133805948 Distance/Radius and Azimuth Data Course/ Circle # Point # Vector Distance/ Radius Azimuth 1 0 1 1 a 4.54 68.95 1 2 b 3.26 282.46 1 3 C 4.35 261.19 2 0 2 1 r 3.65 297.23 the data was rounded off to two decimal places for feasible calculationsb. The addition of vectors a, b and c by polygon method Dot Magnitude Angle () X Product a 4.54 68.95 1.63069 4.23703 D 3.26 282.46 0.703371 -3. 18322 a.b: -12.3404 C 4.35 261.19 -0.666239 -4.29868 b.c: 13.215 3.6484 -62.7974 1.66782 -3.24487 + 2 -2 2 4 -2 The magnitude of resultant vector is 3.65 km and its direction is -62.8 " with respect to x - axis. Here, the negative sign of azimuth shows its in clockwise direction. In counterclockwise sense, the azimuth of resultant is (360 - 62.8) = 297.8" Thus, the magnitude and direction of resultant vector r obtained by polygon method of vectorThe magnitude of resultant vector is 3.65 km and its direction is 82.3 c with respect to :t: axis. Here, the negative sign of azimuth shows its in clockwise direction. in counterclockwise sense, the azimuth of resultant is {SE-D (52.8? = 297.8 3 Thus. the magnitude and direction of resultant vector r' obtained by polygon method of vector *minor correction in above image 0 the azimuth of resultant vector [S 297 2 addition is same as the value given in the downloaded CS'v' file. c. For a vector it having magnitude c. and making angle :9 in counterclockwise sense with respect ot a:axis the :t: and 1; components are rt,T rt cost? and (IF rtsiu Addition of vectors {1,5 and c by component method Vector Distancei'Radius [km] Azimuth (\"It xcomponent ycomponent The magnitude of resultant vector is T = Elt'llri + I\": =,~'=1I{16Tkm}2 i { 3.241th _> -r 3.65km The direction of resultant vector is 3.21- km 1.6? km Thus. the magnitude and direction at resultant vector -.'r' obtained by component method of vector addition is very,I close to the value given in the downloaded csv fate. Calculations: \f4.50 . SIll( 201. 19) = -4.29867724418 1.631 + 0.703 - 0.666 X = 1.668 4.24 - 3.18 - 4.30 X =-3.24 X V (1.67)2 + (-3.24)2 = 3.64506515717 tan 1/ 3.24 X 1.67 =-62.7319684002 360 - 62.7 X = 297.3 Annotated Vector Map (for reference) Map Satellite Tollway exit (Auto were! INOSLUBAN St. Therese of the Child S&R Membership casug and the ftoly BRGY, TA Moun Malarrayat Golf and Country Club Erase 185 Land Transportation Stice Lipa City Start a Course C MARAWOY Orchard Estate FIRST b Start a Click Lipa City Hall Sam sidra Parish Church Lipa Coty SM City Lipa Menting pula LIPA CITY BALINTAWAK Liam's Cami HOMES Pueblo del Amb Phil spine Red Resort Lipa Batanga (Cross Lipa Branch TAMBO Puregold Lina a job Lipa City De Segunda Our Lady Of Mount Carmel Church AA COBRA Penelope's Se Rose Villas Resorts Google Latag Elementary School Maybeand so Icuts | Map dita $2022 magery $2022 CHES / airbus Liedagur C12:14 cdn.fbsbx.com Done Vector Map Example: 1 of 4 Map view Chosen Location- Beachum Bidg. and opparch 2.59 km The The Outlets enter Carla's Garden and Country Club Wilcon Depot (bing|49) PLANIDEC 4:45 kmm 10.17 km NE MOVE USER WOr Membership Shopping Church and SICO OF NE LIDA Do La Salle Lips Our Lady Of Moum dis first displacement da = third displacement de= second displacement di = resulting displacement Displacement Distancer Azimuth Total Distance Angle with respect to Radius (Circumference Unit Circle 3.59 3.591 61, NE 4.45 6 8.039 84", NE 2.59 34 10 633 74", NW da 10.17 9 10.165 81, NE IL. Solution for finding the resultant displacement using Polygon Method d, = 3. 69 km , 6l' NE da = 4. 45 km, 84' NE d, = 2.59 km, 79' NW scale : 1 km : I am 1.59 km A Q12:14 cdn.fbsbx.com Done Vector Map Example: 1 of 4 Map view Chosen Location- Beachum Bidg. and opparch 2.59 km The The Outlets enter Carla's Garden and Country Club Wilcon Depot (bing|49) PLANIDEC 4:45 kmm 10.17 km NE MOVE USER WOr Membership Shopping Church and SICO OF NE LIDA Do La Salle Lips Our Lady Of Moum dis first displacement da = third displacement de= second displacement di = resulting displacement Displacement Distancer Azimuth Total Distance Angle with respect to Radius (Circumference Unit Circle 3.59 3.591 61, NE 4.45 6 8.039 84", NE 2.59 34 10 633 74", NW da 10.17 9 10.165 81, NE IL. Solution for finding the resultant displacement using Polygon Method d, = 3. 69 km , 6l' NE da = 4. 45 km, 84' NE d, = 2.59 km, 79' NW scale : 1 km : I am 1.59 km A Q12:14 cdn.fbsbx.com Done 2 of 4 Example: Displacement Distanced Azimuth Total Distance Angle with respect to Radius Circumference Unit Circle 3.59 29 3:591 61" NE 4.45 6 8.039 84% NE ds 2.59 344 10.633 74. NW da 10.17 9 10.165 81, NE 11. Solution for finding the resultant displacement using Polygon Method d, " 9. 59 km , 6l' N5 da = 4. 45 km , 84 NE dy = 2. 59 km, 79' NW scale : | km . I am 2-04 km Resultant Vector 10.km 4:45km 31' NE Answer: 10.1 km, 81" NE Solution for finding the resultant displacement using Component Method d, = 3. 64 km , 61' N5 dy = 4.15 km, 84 NE dy = 2.59 km, 74' NW t12:14 cdn.fbsbx.com Done 2 of 4 Example: Displacement Distanced Azimuth Total Distance Angle with respect to Radius Circumference Unit Circle 3.59 29 3:591 61" NE 4.45 6 8.039 84% NE ds 2.59 344 10.633 74. NW da 10.17 9 10.165 81, NE 11. Solution for finding the resultant displacement using Polygon Method d, " 9. 59 km , 6l' N5 da = 4. 45 km , 84 NE dy = 2. 59 km, 79' NW scale : | km . I am 2-04 km Resultant Vector 10.km 4:45km 31' NE Answer: 10.1 km, 81" NE Solution for finding the resultant displacement using Component Method d, = 3. 64 km , 61' N5 dy = 4.15 km, 84 NE dy = 2.59 km, 74' NW t12:14 A cdn.fbsbx.com Done 3 of 4 Answer: 10.1 km, 81" NE Example: III, Solution for finding the resultant displacement using Component Method d, $ 3. 69 km ; 61' NE dy = 4.45 km, 84' NE dy = 2. 59 km, 74' NW cos bl s du 3.51km 1 4 1. 74 3.19 km dy # 3.59 mm 60 61 2 3. 14 mm, North . + 3. 14 km d, cos 84 + dx dy . 4.95 mm - cec 24 047un, Bart 1 0-47 km dy 4. 45 km dy - 4.45 km fin 2 4.43 m, North : + 4.43 km12:14 A cdn.fbsbx.com Done 3 of 4 Answer: 10.1 km, 81" NE Example: III, Solution for finding the resultant displacement using Component Method d, $ 3. 69 km ; 61' NE dy = 4.45 km, 84' NE dy = 2. 59 km, 74' NW cos bl s du 3.51km 1 4 1. 74 3.19 km dy # 3.59 mm 60 61 2 3. 14 mm, North . + 3. 14 km d, cos 84 + dx dy . 4.95 mm - cec 24 047un, Bart 1 0-47 km dy 4. 45 km dy - 4.45 km fin 2 4.43 m, North : + 4.43 km12:14 Example Done 0 470, Bart 4 of 4 # 1 0 47 km Cin of . dy 4.45 km dy . 1:45 km fin 14' - 7.43 m North r + 4.43 Km cos Ty . dy * 0. 71 mm, West . . 0.71 Em 1 2095, North #:4 2:49 bn d, 3.5q pin + 0 47 pm # 4.43 5m - 0.71 Fm + 3 49 Em Ex - 1.5m 5,+ 106km Ide 10.2 to Answer: 10.2 km, 82" NE A