what is meant by component of a vector?
Answers
Explanation:
Consider a vector
→
v
, for example, in space:
enter image source here
If you want to describe it to, say, a friend you can say that has a "modulus" (=length) and direction (you may use, for example, North, South, East, west...etc.).
There is also another way to describe this vector.
You must take your vector into a reference frame to have some numbers related to it and then you take the coordinates of the tip of the arrow...your COMPONENTS !
You can now write your vector as:
→
v
=
(
a
,
b
)
enter image source here
For Example:
→
v
=
(
6
,
4
)
enter image source here
In 3 dimensions you simply add a third component on the
z
axis.
For example:
→
w
=
(
3
,
5
,
4
)
Answer:
follow me
Consider a vector
→
v
, for example, in space:
enter image source here
If you want to describe it to, say, a friend you can say that has a "modulus" (=length) and direction (you may use, for example, North, South, East, west...etc.).
There is also another way to describe this vector.
You must take your vector into a reference frame to have some numbers related to it and then you take the coordinates of the tip of the arrow...your COMPONENTS !
You can now write your vector as:
→
v
=
(
a
,
b
)
enter image source here
For Example:
→
v
=
(
6
,
4
)
enter image source here
In 3 dimensions you simply add a third component on the
z
axis.
For example:
→
w
=
(
3
,
5
,
4
)
enter image source here