Are These Statements About Vectors True or False?

[mullets1200]

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.

 

[member 553083]

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