`hatiandhatj` are unit vectors along x - and y- axis respectively . What is the magnitude and direction of the vectors `hati+hatjandhati-hatj`? What are the components of a vector `A=2hati+3hatj` along the directions of `hati+hatjand hati-hatj`? [ You may use graphical method]

Answer

`sqrt(2),45^(@)` with the x - axis ; `sqrt(2),-45^(@)` with the x - axis , `(5//sqrt(2),-1//sqrt(2))`.