August 27, 2015
Vector Review
https://www.youtube.com/watch?v=GKQdkS0qG3g
vector: a quantity that has both magnitude (length or speed)
and direction
component form:
v
direction: direction (angle) in which the arrow is pointing
August 27, 2015
Draw the vector given the component form. Then find
the magnitude and direction.
1. < 1, 4 >
August 27, 2015
Draw the vector given the component form. Then find
the magnitude and direction.
2. < -3, -2 >
August 27, 2015
Draw the vector given the component form. Then find
the magnitude and direction.
3. < -3, 5 >
August 27, 2015
Find the component form of the vector.
4. v = 20 ; dir. angle = 40o
August 27, 2015
5.
v
= 12 ; direction angle = 130
August 27, 2015
Direction: an angle given from north, south, east,
or west
N
u
t
W
E
w
v
S
August 27, 2015
4. A boat is traveling 40 West of North (N 40o W) at 35
nautical miles per hour. Find its component form after 2
hours.
August 27, 2015
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 27, 2015
6.
a. A plane is traveling 260 mph for 3 hrs in a
direction angle of 135o. 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.