Vector quantity with both magnitude and direction Josh Start at 0 0 Walk to 2 4 Karina Start at 5 5 Walk to 3 1 Holly Start at 3 1 Walk to 5 3 Natalie Start at 3 1 Walk to 1 5 ID: 680390
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Slide1
Vectors ReviewSlide2
Definition
Vector: quantity with both magnitude and direction
Josh: Start at (0, 0). Walk to (2, -4)Karina: Start at (-5, 5) Walk to (-3, 1).Holly: Start at (3, 1) Walk to (5, -3).Natalie: Start at (-3, -1). Walk to (-1, -5).Component FormPolar Form: What magnitude? What direction?
Slide3
Find the component form of the vector. Then change it to polar form.
The vector from the origin to the point (-3, 4).
The vector from the point (-3, 4) to the origin.The vector from (5, 3) to (-3, 0).Slide4
Find the component form of the vector.
Magnitude of 2, direction of
radians.Magnitude of 4, direction of 60.Magnitude of 5, direction of Magnitude of 7, direction of
radians.
Slide5
Velocity as a Vector
Model the following velocity
vector on the x-y plane.
Slide6
Velocity as a Vector
An airplane is flying in the direction
east of north at 325 mph. Write a velocity vector in component form for the airplane. How fast is the plane travelling to the east? How fast is the plane travelling to the north? Slide7
Velocity as a Vector
A plane is travelling so its distance to the east changes at 200 mph, and it’s distance to the north changes at 346.410 mph. What is the speed of the plane? What direction is it traveling, relative to the east?Slide8
Operating With Vectors
and
Find
Find
Slide9
Vector Addition
A river is flowing due east at 2 mph. A canoeist paddles across the river at 4 mph with his bow aimed directly northwest (a directly angle of 135
). What is the true direction angle of the canoeist’s path, and how fast is the canoe going?