vectors Flashcards
position vectors
start from origin
direction vectors
coordinates of the vector, second part of the equation
unit vectors
vector whose magnitude is exactly 1 unit
vector definition
a quantity that has a magnitude and a direction
r = a + tb
a = position vector of a point on the line
b = direction vector of a line
finding out if a point lies on the vector
replace r with coordinates of the point and find a variable t that satisfies the equation
equal vectors
aka coincident
have same magnitude and direction,
have the same i, j and k values
same column vector
a*a = a^2
parallel vectors
one is the scala multiple of the other:
(the i,j and k of one are multiples of the other)
can have different magnitudes
AB = k CD where k is a scalar quantity
ab= |a||b|
column vector
|v1. |
|v1. |
|v3. |
— —
base vector
v1i, v2j, v3k
unit vector formula
coordinates of vector/ magnitude
a/ |a|
vector of any length
unit vector * length
k (a/|a|)
zero vector
journey results in a return to the starting point
perpendicular vectors
a*b= 0 <– scalar product
perpendicular vectors
a*b= 0 <– scalar product
