8.6 Vectors
vector: quantity with both magnitude and direction
B(x , y )
2
2
AB
A(x , y )
1
1
magnitude: distance from initial point to terminal point
AB =
equal vectors: have same magnitude and direction
parallel vectors: have the same or opposite direction
Component Form: <x - x , y - y >
2
1
2
1
1. P(0,1) Q(-3,5). Write the component form of PQ
and find the magnitude.
2. Find the component form of the vector with initial point
(-4,5) and terminal point (4, -3). Then find the magnitude.
Draw a vector with component form < 5, 1>.
Then find the magnitude.
What is the component form of the following vectors?
Then find the magnitude of each.
u
v
w
t
direction of a vector: the angle it makes with the
horizontal line.
Find the direction of the vector to the nearest degree.
Find the direction of the vector to the nearest degree.
AB describes the velocity of a plane. The scale is miles/hour.
(600,300)
a. Find the speed.
(100,200)
b. Find the direction it is traveling
relative to east.