Vector magnitude and direction question

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Homework Help Overview

The discussion revolves around a vector addition problem involving two vectors, A and B, with specified components. The original poster seeks to determine the components, magnitude, and direction of the resultant vector C.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • The original poster attempts to calculate the components of vector C and its magnitude, while expressing uncertainty about the direction. Some participants question the accuracy of the angle provided and suggest alternative representations of the direction.

Discussion Status

Participants are exploring different interpretations of the angle measurement and discussing the requirements for the answer format. There is no explicit consensus on the correct approach to determining the direction of vector C.

Contextual Notes

The problem is presented in an online format that checks answers, which adds a layer of complexity regarding the expected precision and format of the direction measurement.

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Homework Statement



Suppose vector C = vector A + vector B where vector A has components vector A x = 4, vector A y = 2 and vector B has components vector B x = -3, vector B y = -5.
(a) What are the x- and y- components of vector C ?

I've solved this to figure out that x = 1 and y = -3 for C

(b)What are the magnitude and direction of vector C ?
magnitude I've solved this to be 3.2
direction ? (clockwise from the x-axis) This is what I can't get. I've solved for the angle and gotten -72 degrees using tan -3/1. Does anybody know what I'm doing wrong?

Homework Equations


The Attempt at a Solution

 
Last edited:
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Why do you say that answer is wrong. Perhaps you are not being accurate enough. 71 degrees, 35 minutes is slightly more accurate, 71 degrees, 34 minutes, and 36 seconds even more accurate. Or perhaps they want the answer in radians.
 
It's an online problem that checks itself when you put in the answer. It's telling me that my answer of -72 degrees is wrong and I'm not sure why. Also, it wants it in degrees specifically.
 
I've solved this to figure out that x = 1 and y = -3 for C

If X is 1 then that would be east, and given that the Y component is negative, its south.

I don't know the details of the question, but try East 72 South
 
Perhaps they want an answer between 0 and 360 degrees.
 

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