Why can't I get the vector answer shown?

Vectors in geometry

Why can't I get the vector answer shown?

Postby Guest » Fri Mar 08, 2019 3:29 am

In the attached pic, I don't know how the answer for A + B + C + D has a magnitude of 29 and a direction of 157° from x (or 23° N of W)
My solution shown below:

Choosing up and to the right as positive directions, and rounding to two decimal places:
Ax = +15cos60°=7.5
Ay = +15sin60°=12.99
Bx = 10
By = 0
Cx = 0
Cy = -25
Dx = -50cos28°= -44.15
Dy = -50sin28°= -23.47

Sum in x-direction: -26.65
Sum in y-direction: -35.48
|R|=[tex]\sqrt{(-26.65)^2+(-35.48)^2}[/tex] = 44.37
\theta = tan^(-1)=(-35.48/-26.65) = 53.09° South of West

But the answer provided is |R| = 29 and /theta = 23° N of W
Can anyone help?
Attachments
Vector Addition Problems.PNG
Vector Addition Problems.PNG (14.01 KiB) Viewed 128 times
Guest
 

Re: Why can't I get the vector answer shown?

Postby Guest » Fri Mar 08, 2019 4:09 am

OP here. Please see the attached for my answers for all 3 vector additions.
Attachments
Vector Addition My Answers.PNG
Vector Addition My Answers.PNG (71.42 KiB) Viewed 123 times
Guest
 

Re: Why can't I get the vector answer shown?

Postby Guest » Fri Mar 08, 2019 4:22 am

OP here again. Small typo on the last direction. Should say 59° S of W, not S of E.
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