Contributed by:
The highlights are:
1. Vector addition
2. NonCollinear Vectors
3. Vector and Polar coordinates
1.
Vectors and Scalars
Eng. Ahmed
Eng. Abdulslam
2.
Scalar and Vectors
A SCALAR is any A VECTOR is any
quantity in physics quantity in physics
that has that has BOTH
MAGNITUDE, but MAGNITUDE and
NOT a direction DIRECTION.
associated with it.
Such as { speed } Such as {Acceleration }
3.
Applications of Vectors
VECTOR ADDITION – If 2 similar vectors point in the SAME
direction, add them.
VECTOR SUBTRACTION  If 2 vectors are going in opposite
directions, subtract them.
4.
Applications of Vectors
Example: A man walks 54.5 meters east, then 30
meters west. Calculate his displacement relative to
where he started?
54.5 m, E

30 m, W
24.5 m, E
5.
Applications of Vectors
Problem:
Car moves 80 Km east, then 30 Km west. After that it
moves again 50 Km east .
Calculate its displacement relative to where it started?
100 Km , East
6.
NonCollinear Vectors
When 2 vectors are perpendicular, you must use the Pythagorean theorem.
Key of chapter
7.
The direction?
We follow these graphs :
N
W of N E of N
# North
N of E
# South N of W
# East W E
S of W S of E
# West
W of S E of S
S
8.
NonCollinear Vectors
Example: A boat moves with a velocity of 15 m/s, N in a river
which flows with a velocity of 8.0 m/s, west. Calculate the
boat's resultant velocity with respect to due north.
2 2
8.0 m/s, W Rv 8 15 17 m / s
15 m/s, N
8
Rv Tan 0.5333
15
Tan 1 (0.5333) 28.1
The Final Answer : 17 m/s, @ 28.1 degrees West of North
9.
NonCollinear Vectors
Example : A plane moves with a velocity of 63.5 m/s at 32
degrees South of East. Calculate the plane's horizontal and
vertical velocity components.
x
32
y
63.5 m/s
X = 53.85 m/s , east .
Y= 33.64 m/s , south .
10.
NonCollinear Vectors
Problem :
R = 14.3 Km
Angle : 65° N of E
11.
Vectors and Polar
Coordinates
12.
Four Quadrants
R R
Ry Ry
Rx Rx
Rx Rx
Ry Ry
R R
Problem
Problem :: suppose
suppose ::
=
=40
40
o
o what
what are
arethe
the
13.
Problem :
X = 86.60 m
Y=  50 m