VECTORSVECTORSVECTOR – ANY

QUANTITY THAT IS DEFINED BY A

MAGNITUDE (SIZE) AND A DIRECTION.

4. When adding vectors graphically remember:

“Draw to scale, ‘TIP-ON-TAIL’!”

Things you should know about vectors:1. Vector quantities are represented

graphically by an arrow.

MAGNITUDEDIRECTION

TIP

TAIL

2. A vector can be moved anywhere without changing the vector as long as the vector has the same magnitude and direction.

= =

3. The negative of a vector simply reverses its direction 180.

A-

RESULTANT - A single vector that can replace all others and give the same result.

The resultant is always drawn The resultant is always drawn from the tail of the first vector to from the tail of the first vector to

and toward the tip of the last.and toward the tip of the last.

VECTOR DIRECTION CONVENTIONS

N

E

S

W

N of e

N of W

S of W

S of E

ALWAYS MEASURE THE DIRECTION AT THE TAIL OF

THE VECTOR FROM THE HORIZONTAL TO THE

VECTOR

ADDING PERPENDICULAR VECTORS1. Sketch the vectors added graphically,

drawing the HORIZONTAL VECTOR FIRST.

Horizontal

VerticalR

2. Solve for the magnitude of the resultant using the Pythagorean theorem.

22 VerHorR 3. Find the direction of R using:

Hor

Ver1tan

Find the Resultant:

A. d1 = 125 m, North

d2 = 112 m, East

d1 + d2 = ?

B. v1 = 12.5 m/s South

v2 = 14.8 m/s, West

v1 + v2 = ?

= 167.84 m, 48.14 N of E

= 19.37 m/s, 40.18 S of W

5.30 km

Larry the Cucumber walks 5.3 km, east and then 3.7 km north to go to Krispy Kreme.

3.70 km6.46 km

34.92

?

?

What displacement would Bob need to follow to go directly to Krispy Kreme if he starts at the same place Larry did? Solve Mathematically.