11. Vectors Flashcards
How to write vector AB
—>
AB
Magnitude of vector a
a |
If two vectors have the same magnitude and direction
They are the same vector and are parallel
Adding vectors
–> —> —>
AB + BC = AC but |AB| + |BC| ≠ |AC|
0 vector
No displacement
How to write a vector parallel to vector a
λa where λ is a scalar
Unit vector
A vector whose magnitude is 1
a^2 + b^2 = 1
Basis unit vector
A unit vector that is parallel with either the x or y axis
i vector
( 1 )
0
j vector
( 0 )
1
Vector ci + dj
( c )
d
Magnitude-direction form
Defining a vector by giving it’s magnitude and its angle from one of the coordinate axes (usually anti-clockwise from i)
How to write θ if 180 < θ < 360
-180 < θ < 0
a when a = (r, θ) and θ is measured anti-clockwise from positive i
( r cosθ)
r sinθ
a
Unit vector parallel to a
a
—-
|a|
