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. |
The position vector of a particle is $\vec r = (a\cos \omega t)\hat i + (a\sin \omega t)\hat j$. The velocity of the particle is
What is vector ? How it can be represented ?
The value of a unit vector in the direction of vector $A = 5\hat i - 12\hat j,$ is
Angular momentum is
A vector is represented by $3\,\hat i + \hat j + 2\,\hat k$. Its length in $XY$ plane is