Question

4 use the information and vector to answer the following question. vector ab describes the velocity of a sailboat on lake lanier. the scale on each axis is in kilometers per hour. what are the vector components, x and y, for the resultant vector ab? a x = 25 km/h; y = 20 km/h b x = 20 km/h; y = 25 km/h c x = 25 km/h; y = 15 km/h d x = 20 km/h; y = 15 km/h

Explanation:

Step1: Determine x - component

Count the number of grid - squares along the x - axis from the starting point A to the end - point B of the vector. Each grid - square represents 5 km/h. Moving horizontally from A to B, there are 5 grid - squares. So, $x = 5\times5=25$ km/h.

Step2: Determine y - component

Count the number of grid - squares along the y - axis from the starting point A to the end - point B of the vector. Moving vertically from A to B, there are 4 grid - squares. So, $y = 4\times5 = 20$ km/h.

Answer:

A. $x = 25$ km/h; $y = 20$ km/h