1.
Vector: quantity with direction
e.g. 20 mi /hr due north or -5 m/s2
Scalar: quantity only
e.g. 100 lbs or 98 F or 10 PSI
2. Speed is amount only, vel.
Always contains a direction
3. 20N
1=5 as 4=20
o
tan θ =
a
16
tan 35° =
x
x = 22.8
o
tan θ =
a
y
tan60° =
120
y = 207.8
x
sin θ =
100
y
sin55° =
100
y = 81.9
5.
5 3 θ = 55 ⋅ SE
5 €
-4 3 €
3 -3 θ = 70 ⋅ SE
€
θ = 55 ⋅ NE
-(-4) -8 9 €
6.
θ = 55 ⋅ SW
-4 5 11 km
11 km
11
sin θ = 
R

R = 15.5km@45°NW
θ = 45°
a) 22 km
€
b)
R=15.5 km NE
7.
x
-150.
+200.
=
X + (-150 ) = 200
X = 350 8.
Head to tail method
9.
4N
3N
3N
Resultant
4N
(3N)2 + (4N) 2 = R 2
R= 5N going NE at [tan
3/4]
or 36.9
10.
100N
100
Resultant
100N
100
(100N)2 + (100N) 2 = R 2
R= 141 N going NE at 45