9.7 Vectors

Magnitude and Direction

Vector is a Directed Line Segment(a ray)

Terminal point

Initial point

Q

P 21, pp

21,qq

Component Form of a vector

P = (p1, p2 ); Q = (q1, q2 )

Which can be labeled by just a letter.

2211 , pqpqPQ

2211 , pqpqV

Find the Component form

Let URS

2,5

4,86)2(4

13)5(8

2

1

u

u

Find the Component form

Let URS

2,5

4,86)2(4

13)5(8

2

1

u

u

6,13U

Magnitude is the length of a vector

It is denote as || vector name ||

Have you seen this equation before?

2222

11 pqpqPQ

Magnitude is the length of a vector

It is denote as || vector name ||

If you use Component form it is less work

2222

11 pqpqPQ

Find the Component form and Magnitude

Let URS

2,5

4,86)2(4

13)5(8

2

1

u

u

6,13U

3.14205

613 22

U

U

Vectors also have direction

Vector direction are based off the West/East line North

South

West East

Vectors also have direction

Vector direction are based off the West/East line. North

South

West East

EN

axisxthefrom

angletheis

Vectors also have direction

Vector direction are based off the West/East line. North

South

West East

EN

axisxthefrom

angletheis

8,6

0,08

6

Vectors also have direction

Vector direction are based off the West/East line. North

South

West East

EN 1.53

axisxthefrom

angletheis

8,6

0,08

6

1.536

8

6

8

1Tan

Tan

Parallelogram Law used in Addition of VectorsGraph the

Vectors

move the tail

of one vector to

the head of

the other

vector.

6,4

4,2

Parallelogram Law used in Addition of Vectors Graph the

Vectors

move the tail

of one vector

to the head

of the other

vector.

6,4

4,2

2,6

2,646,24

Find the Component form, Magnitude and its direction.

Component form 5,6

2,8

Find the Component form, Magnitude and its direction.

Component form 5,6

2,8

7,1452,68

Find the Component form, Magnitude and its direction.

Component form

Magnitude 5,6

2,8

7,14

Find the Component form, Magnitude and its direction.

Component form

Magnitude 5,6

2,8

7,14

57

714 22

Find the Component form, Magnitude and its direction.

Component form

Magnitude 5,6

2,8

7,14

57

714 22

2,6

7

14

Find the Component form, Magnitude and its direction.

Component form Direction

Magnitude 5,6

2,8

7,14

57

714 22

2,6

7

14

6.2614

714

7

1Tan

Tan

WS 6.26

Add the Vectors

The Vectors are in Component form

12,5;6,4 da

Add the Vectors

The Vectors are in Component form

18,9

126,54

12,5;6,4

da

da

Homework

Page 576 – 578

# 13 – 19 odd,

35 – 39 odd