Multiplying a vector by a positive real number
When a vector is multiplied by a positive number (for example 2, 3 ,5, 60 unit etc.) or a scalar only its magnitude is changed but its direction remains the same as that of the original vector.
If mass does not change then acceleration of a particle is dependent on the forces acting upon the particle and the particle's mass. For a given particle, if the net force is increased, the acceleration is increased. For a given net force, the more mass a particle has, the less acceleration it has.
hence the rate of change of momentum of a body is directly proportional to the applied force
The pressure at a depth of h in a fluid of density at a place where the acceleration due to gravity is g and the pressure at h=0 is is given by
According to Pascal's Law,
Change in Pressure (P-P0) = hg
if h=0 then P-P0 = 0
and P=P0
Derived units are units which may be expressed in terms of base units by means of mathematical symbols of multiplication and division.
For example, the SI derived unit of area is the square metre (m2), and the SI derived unit of density is the kilogram per cubic metre (kg/m3 or kg m-3).
The names of SI units are written in lowercase.