I need help solving this. Thanks 2. Five vectors are defined as shown with the magnitude units in meters.a. Write the vectors in component form in terms of ijk vectors. Boxanswers. Show ALL your work.b. Find the resultant R = A+2B-C+D-Fusing a method ofcomponents, giving your result in both ijk form and in polar coordinates.Box your answers. Show ALL your work.c. Use the graphical method to find R= Ã+2B-C+D-Fin polarcoordinates. Use the largest scale possible to fit the vector sum on asingle. d. Calculate the percent error between the two methods for boththe magnitude and direction, taking the component method as the 'true'value. Your results should agree within a few percent. Put results in polarcoordinates in the boxes below as (R,0). Show ALL your work. Attachadditional pages if needed.A- 103037Graphical Method Results:Percent Error:Component Method Results:C- 12.0

Name: I need help solving this. Thanks 2. Five vectors are defined as shown
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Description: I need help solving this. Thanks 2. Five vectors are defined as shown with the magnitude units in meters.a. Write the vectors in component form in terms of ijk vectors. Boxanswers. Show ALL your work.b. Find the resultant R = A+2B-C+D-Fusing a method

Answered: 2. Five vectors are defined as shown…

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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I need help solving this. Thanks

2. Five vectors are defined as shown with the magnitude units in meters.
a. Write the vectors in component form in terms of ijk vectors. Box
answers. Show ALL your work.
b. Find the resultant R = A+2B-C+D-Fusing a method of
components, giving your result in both ijk form and in polar coordinates.
Box your answers. Show ALL your work.
c. Use the graphical method to find R= Ã+2B-C+D-Fin polar
coordinates. Use the largest scale possible to fit the vector sum on a
single. d. Calculate the percent error between the two methods for both
the magnitude and direction, taking the component method as the 'true'
value. Your results should agree within a few percent. Put results in polar
coordinates in the boxes below as (R,0). Show ALL your work. Attach
additional pages if needed.
A- 10
30
37
Graphical Method Results:
Percent Error:
Component Method Results:
C- 12.0

Expert Solution

Step 1: Given vector in ijk form

$r = m a g n i t u d e o f t h e g i v e n v e c t o r θ = a n g l e m a d e b y t h e g i v e n v e c t o r w i t h + v e x - a x i s x = c o m p o n e n t o f t h e g i v e n v e c t o r i n x - d i r e c t i o n y = c o m p o n e n t o f t h e g i v e n v e c t o r i n y - d i r e c t i o n z = c o m p o n e n t o f t h e g i v e n v e c t o r i n z - d i r e c t i o n x = r \cos θ y = r \sin θ z = 0 (A s a l l f i v e v e c t o r y a r e c o n f i n e d i n x y p l a n e)$

vector	r	theta	i	j	k
A	10	30	8.660254	5	0
B	5	53	3.009075	3.993178	0
C	12	-60	6	-10.3923	0
D	20	143	-15.9727	12.0363	0
F	20	210	-17.3205	-10	0

A =8.66i + 5j + 0k

B = 3.01i + 3.99j + 0 k

C = 6i -10.39j + 0k

D = -15.97i + 12.04j + 0k

F = -17.32i -10j + 0k

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