$100$ coplanar forces each equal to $10 \,N$ act on a body. Each force makes angle $\pi /50$ with the preceding force. What is the resultant of the forces.......... $N$

Which of the following is a scalar quantity

Any vector in an arbitrary direction can always be replaced by two (or three)

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 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.

The change in a vector may occur due to .....