Vector Addition and Magnitude: Q1 & Q2

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Vector C, derived from the subtraction of vector A (north) from vector B (east), points "south of east," confirming the direction of the resultant vector. The discussion emphasizes the importance of understanding vector subtraction and how to visualize it geometrically. For the second question, the magnitude of the resultant vector from adding vector A (3.0 units along the positive x-axis) and vector B (4.0 units at 150 degrees) requires knowledge of vector addition principles and potentially using diagrams for clarity. Participants are encouraged to share their methods for calculating vector differences and resultant magnitudes. Overall, a solid grasp of vector operations and visual aids is crucial for solving these problems effectively.
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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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