law of sine to find its direction in one instance. The components method will also be used.
Theory
A vector is a physical quantity that has both magnitude and direction.
Examples include force, weight, displacement, velocity and acceleration.
On the other hand, a scalar is a physical quantity that has magnitude only,
examples speed, mass, distance, temperature, population. A vector may be
represented by a letter example with a bar on top indicating the direction,
or by a bold letter, example
A
.
A vector
A
can be written
as a sum of two vectors
A
x
and
A
y
along the x
and the y-axis respectively, as shown
.
A
x
and
A
y
are called
the components
of vector
A
and are given by
A
x
= A
cosα
A
y
= A
sinα
α (≤ 90
0
)
is the angle vector
A
makes with the x-axis.
In order to find the resultant vector
R
of a system of vectors
A
,
B
,
C
, etc
we follow these steps:
a) Find the x and y components for each vector using the above equations. i.e find
A
x,
B
x,
C
x ...
and
A
y,
B
y,
....
:
C
y

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