August 26, 2016
Vector Review
https://www.youtube.com/watch?v=GKQdkS0qG3g
vector: a quantity that has both magnitude (length or speed)
and direction
v
component form:
direction: direction (angle) in which the arrow is pointing
(relative to the positive horizontal drawn at the initial point)
August 26, 2016
Draw the vector given the component form. Then find
the magnitude and direction.
1. < 1, 4 >
August 26, 2016
Draw the vector given the component form. Then find
the magnitude and direction.
2. < -3, -2 >
August 26, 2016
Draw the vector given the component form. Then find
the magnitude and direction.
3. < -3, 5 >
August 26, 2016
Find the component form of the vector.
4. v = 20 ; dir. angle = 40o
August 26, 2016
5.
v
= 12 ; direction angle = 130
o
August 26, 2016
Direction: an angle given from north, south, east,
or west
N
u
t
W
E
w
v
S
August 26, 2016
o
4. A boat is traveling 40 West of North (N 40 W) at 35
nautical miles per hour. Find its component form after 2
hours.
August 26, 2016
5. A boat is heading due east at a constant speed of 35 mph.
There is an 8 mph current moving north. What is the boat's
actual speed and direction?
August 26, 2016
6.
a. A plane is traveling 260 mph for 3 hrs in a
o.
direction angle of 135 Find the component form
of the plane.
b. The plane in part a, then travels due east for 1
hour. Find the component form after the four
hours of travel.
c. Determine the plane's distance and direction from port
after the 4 hours of travel.