Vectors in 2D Flashcards
1
Q
What is i?
A
A vector of length 1 unit in the positive x-direction
2
Q
What is j?
A
A vector of length 1 unit in the positive y-direction
3
Q
What is a unit vector?
A
A vector of length 1 unit
4
Q
How is the magnitude of vector A->B denoted and found?
A
|A->B| and by Pythagoras’ theorem
5
Q
What is the unit vector in the same direction as a?
A
a/|a|
6
Q
If A is the point (6,4) and B is the point (1,-7) find A->B?
A
A->B=O->B-O->A
=(i-7j)-(6i+4j)
=-5i-11j
7
Q
What is the position vector r for an object with initial position a, moving with constant velocity v at time t?
A
r=a+tv
8
Q
What is column vector notation?
A
(x direction,(/)y direction)