Final answer:
Subtracting vectors graphically assists in determining a new location after a sequence of movements. If a woman travels in vector A then mistakenly vector -B, she ends up at position A - B, diverging from the intended dock position of A + B due to her directional error.
Step-by-step explanation:
Subtracting Vectors Graphically involves understanding how to plot and manipulate vectors in order to determine the resulting position from a sequence of movements. If a woman sailing a boat is to follow instructions to a dock by first moving vector A then vector B, her dock position would be A + B. If instead she moves vector A and then makes an error moving vector -B (the opposite direction of B), she would end up at the resultant position A - B. The direction for vector -B, using subtraction of angles in trigonometry, is determined to be 68° south of east.
To plan your route, it is essential to use the correct vectors and understand how subtracting or adding vectors impacts your final position. This same principle can be applied in different scenarios, such as in a maritime context, where understanding the impact of going in the opposite direction is crucial for navigation. Comparing the location of A - B with A + B would show where the woman ends up in relation to the dock if she travels the opposite direction on the second leg of her trip.