*Vectors Flashcards
(13 cards)
How are vectors added?
Place all vectors added from tip to tail, and find the shortest distance from first tail to last tip
Vectors are written with either…
A little squiggly thing ~ underneath
from one place (let’s say A) to another (let’s say B) with an arrow (→) above (pointing A to B)
Vectors are multiplied with a…
Scalar (λ), or something with only magnitude
Unit vectors (vectors of magnitude 1 in the same direction) can be found by
dividing by absolute value of same vector (v/|v|)
Unit vectors are written with a…
A little witch’s hat on top of the vector (looks like this ^)
Position vector is…
A vector that has its tail limited to the origin (0,0) in a cartesian plane
Written as OA (with A being another position) with an arrow on top (→)
The tip is the coordinates on the plane
Adding or subtracting position vectors can be done by…
adding/subtracting the x and y values to find the resultant vector
Multiplying or dividing position vectors can be done by…
multiplying/dividing the x and y values of one vector with a scalar
The angle of a vector (where it’s facing) uses…
ASTC notation, unless stated otherwise (e.g. a bearing which goes north → east → south → west)
The special vector i and j represent
Vectors of 1 unit to the right and up respectively
Component notation is done by…
xi + yj (with x and y being the x and y values of a broken down vector)
If a + b = c… then c - a =…
b, with -a being the vector a in the opposite direction
i.e. c - a = c + (reverse a)
If vectors all add up and go to the original position, then vectors (let’s say these vectors are a, b, c, d) are all equal to…
0
