SOLUTION: The magnitude and directions of u and v are given. Find vector w's polar coordinates.
u: magnitde 23, bearing 215°
v: magnitude 14.5, bearing 105°
w: u + v
A:(22.7, 77°
Algebra.Com
Question 633726: The magnitude and directions of u and v are given. Find vector w's polar coordinates.
u: magnitde 23, bearing 215°
v: magnitude 14.5, bearing 105°
w: u + v
A:(22.7, 77°)
B:(77, 22.7°)
C:(22.6, 177.9°)
D:(177.9, 22.6°)
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The magnitude and directions of u and v are given. Find vector w's polar coordinates.
u: magnitude 23, bearing 215°
v: magnitude 14.5, bearing 105°
w: u + v
---
x ccordinate of u+v: 23cos(215)+14.5cos(105) = -22.59
y coordinate of u+v: 23sin(s15)+14.5sin(105) = 0.8136
---
magnitude of u+v: sqrt[(-22.59)^2+(0.8136)^2] = 22.60
direction of u+v: tan^-1(0.8136/(-22.59)) = -2.06 = 180-2.06 = 177.9 degrees
----
Ans: C
==================
Cheers,
Stan H.
============================
A:(22.7, 77°)
B:(77, 22.7°)
C:(22.6, 177.9°)
D:(177.9, 22.6°)
RELATED QUESTIONS
1. The magnitude and direction of vectors u and v are given. Find vector w's polar... (answered by richard1234)
The magnitude and direction of vectors u and v are given. Find vector w's polar... (answered by scott8148,KMST)
what is the magnitude
U: magnitude 23, bearing 215 degrees
V: magnitude 14.5, bearing... (answered by venugopalramana)
find the magnitude
U: magnitude 218, bearing 22degrees
V: magnitude 170, bearing... (answered by venugopalramana)
the vector u has magnitude 10 and bearing 200 degrees. vector v has magnitude 8 and... (answered by narayaba,venugopalramana)
what is the magnitude
U: magnitude 1,850, bearing 125 degrees
V: magnitude 2,960,... (answered by fractalier)
The vectors i, j are unit vectors along the x-axis and y-axis respectively. the vectors... (answered by dfrazzetto)
Given that: u = 6i−2j−8k and v = −7j−2k
q1) Find a... (answered by Fombitz)
Vector v has a magnitude of 15 and a direction angle of 60 degrees. vector u has a... (answered by ikleyn)