Complete only D Suppose you are about to cross a river with a small motor boat. The river current ismoving 5 meters/minute, and the slow boat will go 10 meters/min. You want to travelperpendicular to the flow of the river (dotted line) and land at a spot directly across fromwhere you start (at the X). Our goal is to find the vector that will tell us what direction topoint our boat in so that we head straight across.5 m/minWe set up a standard coordinate system. The origin will be the where the boat launchesfrom and the near shore will be the x-axis. We will measure angles in the standard way.Let v = < a, b > be the vector that represents the velocity the boat's motor is trying topush the boat.. Note, v = 10 m/min, the speed of the boat. Also note that is not theactual direction the boat moves because the flow of the river afafects its movement, alongwith its motor. a. Letr be the vector representing the velocity of the water, which is flowing tothe left at 5 m/min. Writer in component form (r= < x, y >).b. The velocity the boat will actually travel with is given by + + v. We want thisnew vector to point straight across the river. Use this to determine a, the xcomponent of v. (Hint: what should the x component of 7 + v be?)c. Now, determine b, the y component of v. (Hint: recall that the magnitude ofis equal to the speed the boat will travel.)d. What is the magnitude of r + v?

Given: Speed of water in the river : 5m/min Speed of the boat = 10m/min To find : We want to reach…

a. Letr be the vector representing the velocity of the water, which is flowing to the left at 5 m/min. Write in component form (r= < x, y>). b. The velocity the boat will actually travel with is given by + + v. We want this new vector to point straight across the river. Use this to determine a, the x component of v. (Hint: what should the x component of 7+ be?) c. Now, determine b, the y component of v. (Hint: recall that the magnitude of is equal to the speed the boat will travel.) d. What is the magnitude of 7 + v?

a. Letr be the vector representing the velocity of the water, which is flowing to the left at 5 m/min. Write in component form (r= < x, y>). b. The velocity the boat will actually travel with is given by + + v. We want this new vector to point straight across the river. Use this to determine a, the x component of v. (Hint: what should the x component of 7+ be?) c. Now, determine b, the y component of v. (Hint: recall that the magnitude of is equal to the speed the boat will travel.) d. What is the magnitude of 7 + v?