The problem involves the addition of two vectors with magnitudes of 20 and 25, exploring the possible magnitudes of their resultant vector. Participants are discussing the constraints and rules governing vector addition.
The discussion is ongoing, with some participants providing insights into the rules of vector addition, such as the head-to-tail method and the implications of vector direction. There is recognition of the conditions that lead to maximum and minimum resultant magnitudes, but no consensus on the specific answer to the problem.
Participants are navigating the problem with limited information about angles and components, which is affecting their ability to fully resolve the question. There is a focus on understanding the foundational rules of vector addition.
vorse said:Homework Statement
A vector of magnitude 20 is added to a vector of magnitude 25. The magnitude of this sum might be:
A. Zero
B. 3
C. 12
D. 47
E. 50
Homework Equations
Probable the Pythagoreans and use of sin, cos, etc.
The Attempt at a Solution
Not sure how to add the magnitude of vector w/out knowing the angle or the different components.
Thanks for looking at the problem.
vorse said:I know what the answer it. I just don't know how the answer key got there. There are some rules that constrain the addition/subtraction of magnitude of vectors, but I don't know what they are. I am searching the net but to no avail.
P.S
Thanks for the welcome.
vorse said:I know what the answer it. I just don't know how the answer key got there. There are some rules that constrain the addition/subtraction of magnitude of vectors, but I don't know what they are. I am searching the net but to no avail.
P.S
Thanks for the welcome.
LowlyPion said:You know that depending on direction a vector can be added head to tail right? So the biggest value the result can be is ... |20| + |25|
Likewise the smallest value the result can be is when they are in opposite directions. |25| - |20|
Looks like there is only one answer that satisfies these conditions.