April 26, 2013
http://www.traileraddict.com/clip/despicable-me/vectors-introduction
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
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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.
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2. Find the component form of the vector with initial point
(-4,5) and terminal point (4, -3). Then find the magnitude.
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April 26, 2013
Draw a vector with component form < 5, 1>.
Then find the magnitude.
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What is the component form of the following vectors?
Then find the magnitude of each.
u
v
w
t
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direction of a vector: the angle it makes with the
horizontal line.
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Find the direction of the vector to the nearest degree.
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Find the direction of the vector to the nearest degree.
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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.
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AB describes the velocity of a plane. The scale is miles/hour.
(10,50)
a. Find the speed.
(40,10)
b. Find the direction it is traveling
relative to east.
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Adding Vectors:
u + v
v
u+
u
v
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u = <2,-3> v = <1,6>
Find u + v
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An airplane is flying at a constant speed of 400 mi/h at a bearing of
N 70o E. A 60 mi/h wind is blowing due north. What are the
plane's actual speed and direction? Round the speed to the nearest
tenth and the direction to the nearest degree.