2. Vector and Scalar
• Scalar- besaran yang memiliki nilai
saja contoh : massa , wakyu,
volume dll.
• Vector- besaran yang memiliki
nilai dan arah contoh : kecepatan,
percepatan, gaya dll
3. VECTOR NOTATION
• In Slides and handouts Vectors will be denoted as a BOLD letter.
• Example;
• (a+b) will denote a scalar addition
• (A+B) will denote a vector addition
• When hand writing a Vector use an arrow over the letter to denote
it is a Vector. [ ]
A
3
5. • Analytical method
1. Cosine and sinus formula
2. Vector component of a plot
• Geometric method
1. Triangle method
2. Parallelogram method
3. Polygon method
Vector Addition
6. TRIANGLE METHOD
Place the tail of B to the head of A. The Resultant (R) can be found by
connecting the Tail of A to the Head of B. This forms the third leg of the
triangle and the resultant vector.
7. Parallelogram Method
• By drawing construction lines parallel to
the vectors, the resultant vector goes from
the point of origin to the intersection of
the construction lines
7
8. POLYGON METHOD
Polygon method is similar to
the Successive Triangle Method
but no intermediate resultants are
calculated
8
See HO, do example on
board
Graphically measure length and direction
of R!!
9. SINES AND COSINES
FORMULAS
Law of sines
Law of cosines
c
b
a
sin
sin
sin
cos
2
2
2
2
ac
c
a
b
cos
2
2
2
2
bc
c
b
a
cos
2
2
2
2
ab
b
a
c
10. Vector Component Of A Plot
Ay
Ax
A
Ax=horizontal component of vector A
Ay=vertical component of vector A
Ax = A cos θ
Ay = A sin θ
cos θ= Adjacent side
hypotenuse
tan θ= Opposite side
Adjacent side
sin θ = Opposite side
hypotenuse θ
