-/1 Question 4 of 4 < View Policies Current Attempt in Progress +y B A 20.0° 60.0⁰ +x C The three displacement vectors in the drawing have magnitudes of A = 4.94 m, B = 5.95 m, and C = 4.46 m. Find the resultant ((a) magnitude and (b) directional angle) of the three vectors by means of the component method. Express the directional angle as an angle above the positive or negative x axis which is less than 90°. (a) Number i Units (b) Number i Units ||| ⠀

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Please assist me with finding the resultant magnitude and direction for this vector problem. I am pretty sure that i understand the magnitude. Please see my work below. The direction is difficult for me and I need a bit of assistance. Thank you.

#4
Авк!
A²=4.94m
MB-156
C₂ = 0
Cy= - 4.46m
Ax = CosO (#²) = (os(20) (4.94) =-4.64208m
Ay · Smo(#) - Sin (20) (4.94) = 1.68958 m
=
Bx = Cos (6₂0) (5.95) = 2.975m
By = S₁₂0-D Sin (60) (5.95m) :5.15285m
B=√(Ax + Bx+Cx)² + (Ay+By+ Cy) ²
B = √(-4.64208 + 2.975 +0)² + (1.68958m+ 5.15285+ (-4.46m) ²
B = √(2.779156 + 5.667597)
8455128705 = 12.968 m
Maj
ag
Zr.cf
îc
20°
Tuy
1₂
B = 5.95m 2² = 4.46m
God
Transcribed Image Text:#4 Авк! A²=4.94m MB-156 C₂ = 0 Cy= - 4.46m Ax = CosO (#²) = (os(20) (4.94) =-4.64208m Ay · Smo(#) - Sin (20) (4.94) = 1.68958 m = Bx = Cos (6₂0) (5.95) = 2.975m By = S₁₂0-D Sin (60) (5.95m) :5.15285m B=√(Ax + Bx+Cx)² + (Ay+By+ Cy) ² B = √(-4.64208 + 2.975 +0)² + (1.68958m+ 5.15285+ (-4.46m) ² B = √(2.779156 + 5.667597) 8455128705 = 12.968 m Maj ag Zr.cf îc 20° Tuy 1₂ B = 5.95m 2² = 4.46m God
WeBWork: S_RR...
Webwork
G YouTube
Apps
***
← PHY111 Chapter 1 Homework
-/1 = :
Question 4 of 4
<
View Policies
Current Attempt in Progress
+y
B
A
+
60.0°
20.0°
+x
The three displacement vectors in the drawing have magnitudes of A = 4.94 m, B = 5.95 m, and C = 4.46 m. Find the resultant
((a) magnitude and (b) directional angle) of the three vectors by means of the component method. Express the directional angle as an
angle above the positive or negative x axis which is less than 90°.
(a) Number i
Units
(b) Number i
Units
eTextbook and Media
PDF on Referencing science papers
19
JUN
3
tv
JO17A
1.
Bartender M Gmail
bull a
YouTube
N
>
W
M
MacBook Air
]
Transcribed Image Text:WeBWork: S_RR... Webwork G YouTube Apps *** ← PHY111 Chapter 1 Homework -/1 = : Question 4 of 4 < View Policies Current Attempt in Progress +y B A + 60.0° 20.0° +x The three displacement vectors in the drawing have magnitudes of A = 4.94 m, B = 5.95 m, and C = 4.46 m. Find the resultant ((a) magnitude and (b) directional angle) of the three vectors by means of the component method. Express the directional angle as an angle above the positive or negative x axis which is less than 90°. (a) Number i Units (b) Number i Units eTextbook and Media PDF on Referencing science papers 19 JUN 3 tv JO17A 1. Bartender M Gmail bull a YouTube N > W M MacBook Air ]
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