Difference between scalar and vector?
Scalars have no direction. Examples are temperature, cost, speed, energy.
Vectors have direction. Examples are velocity, torque, momentum.
The difference of a Joule of Work and Joule of Energy is the difference between a scalar and a vector, direction! Energy is a quaternion number consisting of a scalar energy and vector energy. Unfortunately, this fact is not realized by physicists. Work is defined as a scalar energy W=F.D = - FDcos(x) Vector energy is Torque T=FxD = FD sin(x).
A quantity is a vector if its direction makes a difference, like force and speed. A quantity is a scalar if its direction doesn't make any difference, like temperature and price. Answer2: The difference between a vector and a scalar is the angle. Numbers in Physics are scalars and vectors. Both scalars and vectors are parts of a quaternion. Quaternions consist of a scalar and a three vectors, Q = w + Ix + Jy…
Pressure is scalar but force is a vector. Pressure is defined as the force per unit area. As we multiply area vector by the pressure which is scalar, we get the force vector. This is similar to get momentum vector by multiplying velocity vector by the mass which is scalar. Unit of force is newton but unit for pressure is N m-2