Vector Addition and Magnitude: Q1 & Q2

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SUMMARY

The discussion focuses on vector addition and magnitude, specifically addressing two homework questions. In Question 1, the correct answer for the direction of vector C (C = B - A) is "south of east," derived from the orientation of vectors A and B. Question 2 involves calculating the magnitude of the resultant vector when vector A (3.0 units along the positive x-axis) is added to vector B (4.0 units at 150 degrees from the positive x-axis). Participants emphasize the importance of diagrams in understanding vector addition and the calculation of magnitudes.

PREREQUISITES
  • Understanding of vector components and directions
  • Familiarity with trigonometric functions for vector calculations
  • Knowledge of vector subtraction and resultant vectors
  • Ability to interpret and create vector diagrams
NEXT STEPS
  • Study vector subtraction techniques in physics
  • Learn how to calculate the magnitude of resultant vectors using the Pythagorean theorem
  • Explore the concept of vector angles and their representation in Cartesian coordinates
  • Practice drawing and analyzing vector diagrams for complex vector addition problems
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Students studying physics, particularly those focusing on vector analysis, as well as educators seeking to enhance their teaching methods for vector addition and magnitude calculations.

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Question 1:

Homework Statement


Vector A points north and vector B points east. If C = B - A, then vector C points...

A) north of east
B) south of east
C) north of west
D) south of west

Homework Equations





The Attempt at a Solution



I know the answer is "south of east" (or at least I'm 99% sure). But why? I don't understand why, exactly. Can someone please explain? Thanks, I really appreciate the help.

Question 2:

Homework Statement


Vector A is 3.0 units in length and points along the positive x-axis; vector B is 4.0 units in length and points along a direction 150 degrees from the positive x-axis. What is the magnitude of the resultant when vectors A and B are added?


Homework Equations





The Attempt at a Solution



This is an image I made that I think shows what they are talking about. From there, I'm not too sure where to go...

Thanks again.
 
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For question 1, how is the difference of a vector defined. Or how have you been shown to calculate the difference of a vector.

For question 2, you haven't posted any imagebut what have you learned about vector addition and finding the magnitudes of vectors?
 
A diagram is your best friend.
 

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