Chapter one Vector Analysis. A scalar quantity is one which can be described fully by just stating its magnitude . Some examples are Mass time length temperature density speed energy and volume.
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Vector Analysis
A scalar quantity is one which can be described fully by just stating its magnitude.
Some examples are
Mass
time
length
temperature
density
speed
energy and volume
A vector quantity is one which can only be fully described if its magnitude and direction stated.
Some examples are
displacement
velocity
acceleration
force
momentum
magnetic density and electric intensity.
ScalarsVectorsA
A ≡A
O
There are 3 methods for addition of Vectors.
+
Q
P
Q
+
Q
P
P
+
P
Q
Q
+
P
Q
P
(PQ)=P+(Q)

P
Q
=
P
Q
P
Q
OR
P
PQ
Q
R=A+B
R
Rsin0
0
Rcos0
Rsind
R
d
Rcos d
Q
C
A
P
Q
P
P+Q
o
O
R
R
Q
C
A
P
R
O
S
T
o
P
Q
R
D
R
S
E
C
T
Q
P
A
B
B
D
A
C
o
E
D
C
E
B
R
A