1. Scalar Quantity
Vector Quantity
Quantity having magnitude only
Quantity having magnitude and
direction
Mass – 5 kg
Time – 6 s
Distance – 50 m
Velocity – 5 m/s, North
Force – 10 N, 300
S of W
Acceleration – 1.5 m/s2
, NE

2. Scalar Addition
Addition of arithmetic numbers
Mass – 5kg + 7kg = 12 kg
Time – 6 s + 4 s = 10 s
Distance – 50 m + 100 m = 150 m

3. Vector Addition
Addition of arithmetic numbers with
consideration to the directions
1. The vectors have the same direction
- just add the magnitude and copy the direction
5m/s, N + 5 m/s, N = 10 m/s, N
15 N, West + 25 N, West = 40 N, West
2. The vectors have opposite direction
- just subtract the magnitude and copy the direction
of the vector with higher magnitude
5m/s, N + 4 m/s, S = 1 m/s, N
15 N, SW + 25 N, NE = 10 N, NE

4. Vector Addition
3. The vectors have perpendicular direction
- use Pythagorean Theorem (a2
+b2
= c2
)
3 m/s, N + 4 m/s, E = ___________
( )22
/4)/3( smsmR +=
smR /5=
EofN
sm
sm
0
1
87.36
75.0tan
/4
/3
tan
=
=
=
−
θ
θ
θ
EofNsmR 0
87.36,/5=

5. Guided Exercises
Add the following Quantities
1. 5.2 kg + 8.6 kg = _____ kg
2. 9 m/s + 3 km/h = _____ km/h
3. 6.9 km, N + 3.5 km, N = _____
4. 15 m/s, S + 32 m/s, N = _____
5. 5 m, 300
N of E + 3 m, 300
S of W =
6. 7.5 m, N + 3 m, E = _____
7. 5 m, NE + 5 m, SW = _______
8. 10 m, 300
S of W + 5 m, 600
N of E =

6. Seatwork
Add the following Quantities
1. 57.84 kg + 81.65 kg = _____ kg
2. 2.75 km + 6576.65 cm = _____ cm
3. 90 m/s + 561 km/h = _____ km/h
4. 65.78 km, N + 39.63 km, N = _____
5. 159.62 m/s, S + 329 m/s, N = _____
6. 5 m, 300
N of E + 3 m, 300
S of W = _____
7. 6 m, NW + 3.75 m, SE = _____
8. 6 m, N + 8 m, E = _____
9. 3 m, SE + 3 m, SW = _______
10. 5 m, 300
N of W + 10 m, 600
N of E =

7. Seatwork
Add the following Quantities
1. 57.84 kg + 81.65 kg = _____ kg
2. 2.75 km + 6576.65 cm = _____ cm
3. 90 m/s + 561 km/h = _____ km/h
4. 65.78 km, N + 39.63 km, N = _____
5. 159.62 m/s, S + 329 m/s, N = _____
6. 5 m, 300
N of E + 3 m, 300
S of W = _____
7. 6 m, NW + 3.75 m, SE = _____
8. 6 m, N + 8 m, E = _____
9. 3 m, SE + 3 m, SW = _______
10. 5 m, 300
N of W + 10 m, 600
N of E =