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Mathematics 16 Online
OpenStudy (bloomlocke367):

A_1=16.2 N @ 48.0° E of N. A_2=39.6 N @ 27.0° N of W. A_3=11.2 N @ 4.00° W of N. I have to do the same thing as the last problem @phi.

OpenStudy (sweetburger):

are these vectors?

OpenStudy (bloomlocke367):

Yes. I have to find the resultant vector using the component method

OpenStudy (phi):

do the same as before: change to "standard angles" then you add up M*cos(x) of each vector

OpenStudy (sweetburger):

I dont know how you approach these but i usually draw standard angles on a cartesain

OpenStudy (phi):

for the x values and M*sin(x) for the y values

OpenStudy (bloomlocke367):

okay. hang on this may take a bit. Please be patient cx

OpenStudy (bloomlocke367):

would the first standard angle measure be 42 degrees? I just subtracted the original from 90

OpenStudy (sweetburger):

yes

OpenStudy (bloomlocke367):

and 117 for the second one?

OpenStudy (bloomlocke367):

wait.. no...

OpenStudy (bloomlocke367):

153

OpenStudy (sweetburger):

yes

OpenStudy (bloomlocke367):

the final is 94?

OpenStudy (phi):

yes

OpenStudy (bloomlocke367):

now time to add.. one second.

OpenStudy (bloomlocke367):

I got Ax=-24.026 and Ay=39.991

OpenStudy (bloomlocke367):

so it will be in the 2nd quadrant, right?

OpenStudy (sweetburger):

yea

OpenStudy (bloomlocke367):

so \(A= \sqrt{(-24.026)^2+(39.991)^2}\)

OpenStudy (sweetburger):

I mean that looks correct but i havent done any of the corresponding math so im assuming your values are correct

OpenStudy (bloomlocke367):

alright.

OpenStudy (bloomlocke367):

so I got A=46.65

OpenStudy (sweetburger):

alright so now your looking for the direction via tan^-1(y/x)

OpenStudy (bloomlocke367):

mhm.. and I got -59.003°... I'm not sure in which direction though..

OpenStudy (sweetburger):

we know were in the second quadrant so we add 180

OpenStudy (bloomlocke367):

oh because right now we're in the 4th?

OpenStudy (bloomlocke367):

so 120.997°

OpenStudy (sweetburger):

wait is our x value positive and our y value negative?

OpenStudy (phi):

** Ax=-24.026 and Ay=39.991*** yes that is good

OpenStudy (bloomlocke367):

x is negative and y is positive

OpenStudy (sweetburger):

i thought we were in the 2nd quadrant

OpenStudy (bloomlocke367):

that is the second quadrant

OpenStudy (sweetburger):

why did you say 4th then lol

OpenStudy (phi):

sketch the vector |dw:1443215354419:dw|

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