State, for each of the following physical quantities, if it is a scalar or a vector: volume, mass, speed, acceleration, density, number of moles, velocity, angular frequency, displacement, angular velocity.

State which of the followings are scalars and which are vectors: Weight, density, volume, velocity, area, speed, force, temperature, acceleration, length.

Pick out the two scalar, quantities in the following list: force, angular momentum, work, current, linear momentum, electric field, average velocity, magnetic moment, relative velocity.

Write the dimension of following quantity Angular velocity.

Obtain the dimensional equation of the following quantitites : a)velocity b)momemtum c) pressure d) energy e)acceleration f)force g)impulse h)stress i) density j)work k) frequency l)power m) torque

State with reasons, whether the following algebraic operations with scalar and vector physical quantities are meaningful: (a) adding any two scalars, (b) adding a scalar to a vector of the same dimensions, (c) multiplying any vector by any scalar, (d) multiplying any two scalars, (e) adding any two vectors, (f) adding a component of a vector to the same vector.

Two particles, each of mass m and speed v_3 travel in opposite directions along parallel lines separated by a distance d. Show that the vector angular momentum of the two particle system is the same whatever be the point about which the angular momentum is taken.