Are These Statements About Vectors True or False?

  • Thread starter Thread starter mullets1200
  • Start date Start date
  • Tags Tags
    Vector
Click For Summary
SUMMARY

The discussion centers on the properties of vectors, specifically addressing two statements. The first statement, regarding the invariance of vector components across different coordinate systems, is confirmed as true. The second statement, which claims that the magnitude of the displacement vector from point A to point B can be greater than the actual distance between those points, is determined to be false. Thus, the correct answers are: 1. True, 2. False.

PREREQUISITES
  • Understanding of vector components and coordinate systems
  • Knowledge of displacement and distance in physics
  • Familiarity with basic vector mathematics
  • Concept of magnitude in vector analysis
NEXT STEPS
  • Study the properties of vectors in different coordinate systems
  • Learn about displacement vectors and their relationship to distance
  • Explore vector addition and subtraction techniques
  • Review the mathematical definition of vector magnitude
USEFUL FOR

Students of physics, mathematics enthusiasts, and professionals working in fields involving vector analysis, such as engineering and computer graphics.

mullets1200
Messages
14
Reaction score
0
1. The components of a vector will be the same no matter what coordinate system is used to express that vector. True or False

2. The magnitude of the displacement vector from A to B can never be less than the distance from A to B, but it can be greater than that distance. True or false

My thoughts:
For question 1 i believe the answer is true just because I don't think the coordinate system changes the vectors. I just want to be sure though by asking other people.

Then for question 2 my gut feeling is false but I really am not to sure about it.
 
Physics news on Phys.org
I feel like it is false because I think the displacement vector is the difference between two vectors and it would be impossible to have a greater magnitude than the actual distance. Again though I just want to make sure.Answer:1. True2. False
 

Similar threads

Object at rest hanging from two ropes
  • · Replies 12 ·
Replies
12
Views
2K
How can "work" done by a force be negative?
  • · Replies 19 ·
Replies
19
Views
2K
Correct statement about movement of curve ball in a fluid
  • · Replies 9 ·
Replies
9
Views
1K
Writing a vector parallel and normal to a unit vector ##\hat n##
  • · Replies 26 ·
Replies
26
Views
2K
Kinematics, curvilinear motion (a couple of questions)
  • · Replies 30 ·
2
Replies
30
Views
2K
How do I derive an expression for the velocity vector for any α?
  • · Replies 26 ·
Replies
26
Views
4K
Syntax Error? x and y components of E field in unit vector form
  • · Replies 13 ·
Replies
13
Views
2K
Can A Vector Have Components Of Say Y or Z in the X-Hat Direction?
  • · Replies 8 ·
Replies
8
Views
1K
Needs clarity on this displacement vector diagram
  • · Replies 3 ·
Replies
3
Views
1K
Velocity vectors; arrow length
  • · Replies 3 ·
Replies
3
Views
1K