Question:
During a cricket match, the position of the bowler, the wicket keeper and the leg slip fielder are in a line given by \(\vec{B} = 2\hat{i} + 8\hat{j}\), \(\vec{W} = 6\hat{i} + 12\hat{j}\) and \(\vec{F} = 12\hat{i} + 18\hat{j}\) respectively. Calculate the ratio in which the wicketkeeper divides the line segment joining the bowler and the leg slip fielder.