Distinguish between Vector quantity and a Scalar quantity.
Vector quantities | scalar quantities |
$(1)$ The physical quantities which require direction over and above their magnitude for their specification are called vector quantities. | $(1)$ The physical quantities which can be described bytheir magnitude only are called scalar quantities. |
$(2)$ For Example : velocity, acceleration, force, weight, Displacement, momentum etc. | $(2)$ For Example : speed, mass, volume, size, temperature, amount of substance, power, work done, pressure, time etc. |
$(3)$ While representing these quantities both magnitude and direction are to be stated. | $(3)$ While representing these quantities only its magnitude is required i.e., correct value with units. |
$(4)$ These quantities can not be added algebraically. | $(4)$ These quantities are added or substracted algebraically. |
Position of a particle in a rectangular-co-ordinate system is $(3, 2, 5)$. Then its position vector will be
The change in a vector may occur due to .....
Read each statement below carefully and state with reasons, if it is true or false :
$(a)$ The magnitude of a vector is always a scalar,
$(b)$ each component of a vector is always a scalar,
$(c)$ the total path length is always equal to the magnitude of the displacement vector of a particle.
$(d)$ the average speed of a particle (defined as total path length divided by the time taken to cover the path) is either greater or equal to the magnitude of average velocity of the particle over the same interval of time,
$(e)$ Three vectors not lying in a plane can never add up to give a null vector.
$100$ 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.......... $N$
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.