# Number of people in the room scalar Scalar or Vector

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```					Vectors

Review
• What are the two things that make a quantity
a vector?

Magnitude and Direction
• When adding vectors graphically, how should
they be drawn?
b.   Tail to tail
d.   Tip to tip
• When adding vectors graphically you should
redraw them
a. In the same direction as the original
b. The same size as the original
c. Close to the same size and direction as the
original
d. Both A and B
e. All of the above
Scalar or Vector?
• Speed

scalar
Scalar or Vector?
• Displacement

vector
Scalar or Vector?
• Number of people in the room

scalar
Scalar or Vector?
• 40 m at 20° from across field

vector
Scalar or Vector?
• 700 mL

scalar
Scalar or Vector?
• 5 hours, 12 minutes, 18 seconds

scalar
Scalar or Vector?
• Velocity

vector
• What does the word magnitude mean?

Quantity or How much
Which direction?

30° South of West

30°
Which direction?

25° East of South

25°
Which direction?

20° North of East

20°
• You must walk 2m and 8 m in either order and
in any direction. What is the smallest
displacement you could have?

6m
• You must walk 2m and 8 m in either order and
in any direction. What is the largest
displacement you could have?

10 m
• Given the adjacent side and the hypotenuse in
a right triangle, which trigonometric function
could you use?

Cosine
• Given the adjacent and the opposite sides in a
right triangle, which trigonometric function
could you use?

Tangent
• A golf ball, hit from the tee, travels 325 m in a
direction 25° south of the east axis. What are
the east and south components of its
displacement?

295 m East
137 m South
• A car moves 65 km due east, then 45 km due
west. What is its total displacement?

20 km East
• A vector that is 1 cm long represents a
displacement of 5 km. How many kilometers
are represented by a 3-cm vector drawn to the
same scale?

15 km
• An airplane flies at 200 km/hr with respect to
the air. What is the velocity of the plane
relative to the ground if it flies with an east-to-
west, 50 km/hr cross wind?

206 km/hr @ 14° East of North
• A car has a velocity of 50 km/hr in a direction
60° north of east. What are the north and
east components of the vector?

25 km/hr North
43 km/hr East

```
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