*Vectors Flashcards
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…
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