1. Scalar & Vector Quantities

2. Science Starter Complete the maze using straight lines!
Then, measure the lines using a ruler
Leave column three blank for now

3. Scalars vs. Vectors Scalars Vectors
Quantities that have size but no direction
Examples: volume, mass, distance, temp
Vectors
Quantities that have both size and direction
Examples
Force
Velocity
Magnetic fields
Size
Terminal point
Initial point

4. SCALAR QUANTITIES •Described by a single number and unit of
measurement.
•Gives the magnitude (size)
Examples
Mass = 20 g
Time = 20.0 s
Temperature = 20oC
Speed = 20 m/s
DISTANCE

5. VECTOR QUANTITIES •Arrows are used •Described by a single number and a
unit of measurement (scalar)
•Indicated direction. (head of arrow)
Examples
30 m/s, East
30 m/s, N of E
DISPLACEMENT

6. Vectors Representation Magnitude of a vector Equal vectorsB
Representation
Letters with arrows over them
Component form: <0,2>
Magnitude of a vector
Length of the vector, always positive
Designated |K|
Equal vectors
Same magnitude and
Same direction C

7. DETERMINING DIRECTIONA B
N of E
N of W
S of E C D
S of W

8. ADDITION OF COLLINEAR VECTORS
Resultant vector
represent the total of two or more
vectors

9. VECTORS ACTING IN THE SAME DIRECTION
Connect them head-to-tail and add
Always indicate the direction of the the
resultant
10 km km
R = 20 km, 0o E

10. VECTORS ACTING IN OPPOSITE DIRECTIONS
Connect them tail to tail
Subtract
20 km km
R = 10 km, 0o, W

11. VECTORS ACTING AT A RIGHT ANGLE TO EACH OTHER
•Connect head-to-tail
•Draw resultant from the tail of the lst
vector to the head of the second vector.
•Determine resultant using pythagorean
theorem
•Determine angular direction by using the
tan function

12. Pythagorean Theorem
C2 = a2 + b2
C = hypotenuse
A & B are sides

13. R = 22 km = 20 km R2 = (10 km)2 + (20 km)2 20 km 10 km 10 km or 20 km

14. Trig of the Right Triangle
hypotenuse
Opposite side Ө
Adjacent side

15. DETERMINING DIRECTION OF RESULTANT
DRAW TRIANGLE USING SUMS OF X-
AND Y-COMPONENTS R
46 Paces
N of W
88 Paces

16. VALUE OF RESULTANT Use Pythagorean Theorem
R2 = (88 paces) (46 paces)2
R = 99 paces

17. Independent Practice Now complete column three of the maze
When finished, work on worksheet!