A golfer takes three putts to get the ball into the hole of a level putting green. The first putt displaces the ball 2.5 m North, the second 4.8 m South-East and the third 5.7 m South-West.
Express each of these three displacements in unit vector notation where i is a unit vector pointing due East and j is a unit vector pointing due North.
E.g the first displacement is: [tex](0)i, (2.5)j[/tex]
The Attempt at a Solution
The first one is obvious but the other two aren't. For example for the second part the question says it is 4.8 m South-East BUT it doesn't say how many degrees due South-East. Without the angle, it is impossible for me to find the rectangular components (i.e [tex]4.8 sin(\theta), 4.8 cos(\theta)[/tex]). Any suggestions?