Title Med-RM_Phy_SP-1_Ch-6_Work, Energy and Power.pdf ✅

Aakash Educational Services Limited - Regd. Office : Aakash Tower, 8, Pusa Road, New Delhi-110005 Ph. 011-47623456 Chapter Contents Scalar Product Work Kinetic Energy Work-Energy Theorem Potential Energy Conservative and Non- conservative Forces Equilibrium Mechanical Energy and its Conservation Vertical Circular Motion Power Collision Chapter 6 SCALAR PRODUCT If the product of two vectors is obtained as scaler, then such a product called scalar or dot product. Scalar product of two vectors is equal to the product of magnitude of one of the vector, and component of other vector, in the direction of first vector. A B AB   ( cos ) B A Bcos  = ABcos Properties of Dot Product (1) Dot product is commutative AB BA  (2) Dot product is distributive A B C AB AC    ( ) (3) Self dot product of a vector is equal to square of their magnitude 2 AA A   (4) ii j j kk ˆˆ ˆˆ ˆ ˆ    1 i j jk ki ˆˆ ˆ ˆ ˆˆ    0 (5) Dot product of two perpendicular vectors is zero To prove two vectors to be perpendicular prove their dot product to be zero. To calculate angle between two vectors, take their dot product. A B AB   cos cos A B AB    Component of A in the direction of B B B A B B         Work, Energy and Power