Solving Vector Problems: Step-by-Step Guide

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Homework Help Overview

The discussion revolves around drawing vectors based on given magnitudes and angles. The specific vectors are 60 lbs at 25 degrees east of north and 40 lbs at π/3 south of west.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss the method of drawing vectors and question the interpretation of angles in relation to cardinal directions. There is an attempt to clarify the correct orientation for drawing the vectors based on the problem statement.

Discussion Status

Some guidance has been provided regarding the correct approach to drawing the vectors, particularly in terms of the initial direction and subsequent rotation. Participants are exploring different interpretations of the problem setup.

Contextual Notes

There is a mention of confusion regarding the representation of angles and the drawing process, indicating a need for clearer understanding of vector orientation in relation to the specified directions.

EmmaB03

Homework Statement

:[/B]

Draw the vectors:
A.) 60 lbs at 25 degrees east of north.
B.) 40 lbs at π/3 south of west.

Homework Equations


[/B]
I've tried different things but keep getting the wrong answer. Can someone please explain how to solve these types of problems?

The Attempt at a Solution



I drew a graph, made 1 represent 10 lbs, 2 represent 20 lbs, etc. and drew a line to 6 (60 lbs) and then raised it to a 25 degree angle, but I keep getting the wrong answer.
 
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It is not clear exactly what you did from your description. Could you perhaps provide an illustration?
 
EmmaB03 said:

Homework Statement

:[/B]

Draw the vectors:
A.) 60 lbs at 25 degrees east of north.
B.) 40 lbs at π/3 south of west.

Homework Equations


[/B]
I've tried different things but keep getting the wrong answer. Can someone please explain how to solve these types of problems?

The Attempt at a Solution



I drew a graph, made 1 represent 10 lbs, 2 represent 20 lbs, etc. and drew a line to 6 (60 lbs) and then raised it to a 25 degree angle, but I keep getting the wrong answer.

Did you draw a line segment of length 6 pointing east, then rotate it 25 degrees to the north? (That is what is sounds like, when you say "raise it to a 25 degree angle".) However, the problem requires you to draw a line of length 6 pointing north, then rotate it 25 degrees to the east (so it points 25 degrees east of north).
 
Ray Vickson said:
Did you draw a line segment of length 6 pointing east, then rotate it 25 degrees to the north? (That is what is sounds like, when you say "raise it to a 25 degree angle".) However, the problem requires you to draw a line of length 6 pointing north, then rotate it 25 degrees to the east (so it points 25 degrees east of north).

Yes! That's what I was doing! Thank you so much for the guidance. There were two questions like this with two parts each and I did them all right after reading your reply! Thanks again :)
 
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