Bella C.

asked • 07/03/20

what is 1537km[N37W] - 853km[W]

Can you show me how you would do this subtraction 2d vector problem

Bella C.

why is there 4 different answers??
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07/04/20

William W.

It's strange isn't it? The main issue is that navigation notation where the distance is shown next to the bearing angle, as in this problem, is not common in mathematical circles. But if you google navigational bearing angle, you will find the the first direction is the primary direction, then the angle, then the direction that angle makes off the primary direction. So 1537km[N37W] means 1537 km in a direction that is 37 degrees west of north. If the other tutors had understood that, they would have given you the same answers. The methods are all alike; break vectors into components that are the same direction (using trig), then add those together, then recombine into the final vector.
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07/04/20

4 Answers By Expert Tutors

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William W. answered • 07/03/20

Tutor
5.0 (817)

Experienced Tutor and Retired Engineer

William W.

Kind of funny that you got 4 different answers from 4 tutors. Some are missing the fact that navigation is noted with the primary direction first, then the angle, then the direction the angle is toward. So N37W means primarily north with an offset towards west of 37 degrees. Please make sure you account for that in looking at the answers.
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07/04/20

Yefim S. answered • 07/03/20

Tutor
5 (20)

Math Tutor with Experience

William W.

Looks like you made an arithmetic error Yefim, You specify Ay = 1537cos(37), which is correct) but then equate it to 925. It should be 1227.5
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07/04/20

Heidi T. answered • 07/03/20

Tutor
5 (32)

MS in Mathematics, PhD in Physics, 7+ years teaching experience

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