Project
A) What is the difference between a scalar and a vector quantity, and how are they measured?
|
S.No |
Scalar |
Vector |
|
1 |
Scalar quantities have magnitude or size only. |
Vector quantities have both magnitude and direction. |
|
2 |
It is known that every scalar exists in one dimension only. |
Vector quantities can exist in one, two, or three-dimension. |
|
3 |
Whenever there is a change in a scalar quantity, can correspond to a change in its magnitude also. |
Any change in a vector quantity can correspond to cha change in either its magnitude or direction or both. |
|
4 |
These quantities can not be resolved into their components. |
These quantities can be resolved into their components, using the sine or cosine of the adjacent angle. |
|
5 |
Any mathematical process that involves more than two scalar quantities will only give scalars. |
Mathematical operations on two or more vectors can provide either a scalar or a vector as a result. For instance, the dot product of two vectors only produces a scalar, whereas the cross product, sum, or subtraction of two vectors gives a vector. |
|
6 |
Some examples of Scalar quantities are: <!-- [if !supportLists]-->· <!--[endif]-->Mass <!-- [if !supportLists]-->· <!--[endif]-->Speed <!-- [if !supportLists]-->· <!--[endif]-->Distance <!-- [if !supportLists]-->· <!--[endif]-->Time <!-- [if !supportLists]-->· <!--[endif]-->Area <!-- [if !supportLists]-->· <!--[endif]-->Volume |
Some examples of Vector quantities are: <!-- [if !supportLists]-->· <!--[endif]-->Velocity <!-- [if !supportLists]-->· <!--[endif]-->Force <!-- [if !supportLists]-->· <!--[endif]-->Pressure <!-- [if !supportLists]-->· <!--[endif]-->Displacement <!-- [if !supportLists]-->· <!--[endif]-->Acceleration |
B) How do you measure distance, displacement, and speed, and what are the units used for each quantity?
1) The formula to calculate the distance (d) is equal to Speed × time. – Unit is meter (m)
2) The formula to calculate the Displacement (s) is equal to Velocity × time - Unit is meter (m)
3) The formula to calculate the Velocity (v) is equal to Distance / time - Unit is meter (m/s)