Find the unit vector of a vector whose co-ordinates are $(8,\, 6)$.

Classify the given physical quantities in vector and scalar. Position, speed, velocity, pressure, acceleration, temperature, force, work, energy.

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 expression $\left( {\frac{1}{{\sqrt 2 }}\hat i + \frac{1}{{\sqrt 2 }}\hat j} \right)$ is a

Explain null vector. Explain the physical significance of null vector.

Identify the vector quantity among the following