Question

My Courses <2.1-2.3 Course Home Geometric and Component Vector Addition <9 of 19 Syllabus Four vectors A, BC and D are shown (no to scale) Vector A has magnitude 22 1 and acts at an angle of 131 des postive x ais Vector R har and acts at an anule of agnude 13 9 respect to the postive x ais Vector Cha magnitude 36 9 and acts at an angle of 140 1 degrees with respect to the positive x axs What are te magnnude ad deecton of e resuant vector when the paraneogram w apped A and B? Scores with respect to the Expeess the magnitude to theee significant figures. Express the angle to one decimal place, measured counterclockwise from the positive x axis. Separate your answers by a comma. eText View Available Hints) Study Area ITvec Decument Sharing Figure 1 of 1 26.8715,14.40121 R, User Settings Course Tools Preous Answers Submit x Incorrect Try Again; 2 attempts remainings Part B-Component addinon of vectors What is the resultant vector. R ottained by adding vetors C and D P Pearson Copyright 2019 Pearson Education inc. All rights reserved. Terms of Use I Evacy Poticy I Permissions I Contact Us 30 PM e ENG P 613/2019

Learning Goal:

To be able to add and subtract vectors using geometric and vector addition.

A brother and sister are playing in the woods, when suddenly the brother realizes that they are separated. The last place he remembers seeing his sister is at a particularly large tree. The brother traveled d1=20.0 m at θ1=21.0∘from the tree then turned and traveled d2=12.0 m at θ2=138∘. Meanwhile, the sister traveled d3=19.0 m at an angle of θ3=−112∘ from the tree. The angles are given with respect to east with counterclockwise being defined as positive(Figure 1)

Part A - Position of the boy

Using the parallelogram law to add these vectors geometrically, determine the displacement of the boy relative to the tree.(Figure 2)

Express your answers, separated by a comma, to three significant figures. Enter the angle measured counterclockwise from the positive x axis.

View Available Hint(s)

dB dB , θB=	18.0578,36.306	m, ∘

Answer 1

8lution cla ta Gion 3om di 1380 19 m 03=-1a tet OToee OA d AB ds OC da Relative displacement Of boy with deec OB OF boy with Relatlroe displacement BC bespect to giol the boy the displace ment Νοω calcula ting Of ree the delatioe t0 BY using pasa lletogaam taw NOW egugtion OA OF wot te the a+sin af) 20(coS a OA OA 18 and es'j) (cos138+ sin 13sj AB 1a -8.91 +8.08j

Naco te the eeuarion pasalalogam xelattloe Atsplace ment the oee (6B) i th sespece boy AB -OR OA - OA AB OB OB 18-677+ 7.163-8.1 +8.08 OB 9.76 15.18j getatioe cacutating f isplacement (dn NOLO the magnitude of 96)"+ (15. 18) ds 95-2546+ 30.434 3a5.69 of selatioe displace calcuta tingthe angle NOCU coector (eB -ment 5-18 Tanon 9.76 .5553 TanbB (1.553) Pan 57.360 X