Download presentation

Presentation is loading. Please wait.

Published byAsa Sterman Modified over 2 years ago

1
Vectors 6001

2
INTRODUCTION SCALAR QUANTITIES: _______________________________________________________ VECTOR QUANTITIES: ________________________________________________________ Geometry: Line Segment Vector Magnitude only Magnitude and direction length

3
Vocabulary and Notation: Standard Position: Magnitude (____________) Amplitude /Direction Angle (____________) Bearing: Equal Vectors : Opposite Vectors: Zero Vector: Unit Vector: Initial point and terminal point (where arrow is) Initial point origin length Counter clockwise From the x-axis Clockwise from the North Same direction, same magnitude Same magnitude, opposite direction A B B A 0 magnitude called a point vector Length 1

4
Component Form: Horizontal = x Vertical = y chevrons

5
Component Form: Graphically count

6
Component Form: Numerically Vector has endpoints A ( 4, -6) and B ( -6, 1 ). Find the component form of Vector has component form and initial point A ( -3, -2) Find the terminal point. B(x,y)

7
Examples: A Sketch the vector A with Magnitude :50 mm Amplitude:θ = 20 o Sketch the vector B with Magnitude :70 mm Bearing:θ = 135 o Examples: B Protractor Skills: Measure the magnitude and amplitude.

8
A

10
DOT Paper Sketch the vector C with Initial point ( 0, 0 ) and Terminal point ( -3, 5 ) Find the component form of the vector. Sketch the vector D with Initial point ( 0, 0 ) and Terminal point ( 6, -2 ) Find the component form of the vector.

11
Examples: Sketch the vector E with Initial point ( 4, 5 ) and Terminal point ( -1, -3 ) Find the component form of the vector. Sketch the vector F with Initial point ( -2, -3 ) and Terminal point ( 4, 1 ) Find the component form of the vector.

12
Draw the vector in standard position. Standard Position: count numerically

13
Component Form: x y TRIG magnitude

14
Find the component from of a vector with Trig component form Standard component trig standard

15
Vectors 6002

16
Magnitude and Amplitude: Magnitude is the length of the vector. Amplitude θ is the direction angle - Rem: positive direction Rem: if x is negative add 180 o if y-only is negative add 360 o

17
Find the magnitude and amplitude of the vector:

18
Unit Vector in the direction of : To find the unit vector in the direction of Divide the vector by its magnitude.

19
Adding and Subtracting Vectors Protractor Skills: Adding: Heel to Toe a b a+b

20
DOT Paper Adding: Heel to Toe a b

21
Adding and Subtracting Vectors Protractor Skills: Subtracting: Toe to Toe - must point toward the subtracting vector a b a - b b - a

22
DOT Paper Subtracting: Toe to Toe a b

Similar presentations

OK

Today, we will have a short review on vectors and projectiles and then have a quiz. You will need a calculator, a clicker and some scratch paper for the.

Today, we will have a short review on vectors and projectiles and then have a quiz. You will need a calculator, a clicker and some scratch paper for the.

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on suspension type insulators home Topics for ppt on technology Glass fiber post ppt online Ppt on non-biodegradable waste picture Ppt on computer malwares bytes Ppt on atrial septal defect symptoms Ppt on central bank of india Ppt on general electric company Ppt on power sharing in democracy the power Download ppt on caste system in india