A river is flowing due east at 6 mi/h. A man heads his motorboat in the direction N 30° E in the river. The speed of the motorboat relative to the water is 9 mi/h. (Let east-west be represented by the first component, and north-south be represented by the second component.) (a) Express the true velocity of the motorboat as a vector. mi/hr (b) Find the true speed and direction of the motorboat. (Round your answers to one decimal place.) mi/hr true speed direction

Q: A swimmer heads in the direction N 30 E, swimming at 5 mi/h relative to the water in the Chesapeake…

A: To find the true velocity of the swimmer as a vector.

Q: The current of a river is given by the vector (7,5). The direction of the vector is

A: We have to find the direction

Q: (a) Find the direction angles for the vector ỉ =AB ỉ +CD j +EF k. "Example if A=5 and B=7 so AB=57."…

A:

Q: A vector is described. Express the vector in terms of i and j. A quarterback releases a football…

A:

Q: If A = 4a, - 6a, + a, and B = 2a, + 5a,, find: (a) A B +2|B (b) a unit vector perpendicular to both…

A:

Q: Write the vector equation of the line defined by the following points. (25,17,42)and(-16, 12, 25)

A: Answer is given below :-Explanation:To find the vector equation of the line passing through two…

Q: What is the direction of the vector with an initial point of (3,-5) and a terminal point of (8, 6)?…

A: The initial point is (3, -5) and the terminal point is (8, 6)

Q: A nuclear submarine approaches the surface of the ocean at 22.2 km/h and at an angle of 16.7° with…

A: Given velocity( v ) = 22.2 kmhlet angle( θ ) = 16.7°

Q: A pilot sets his airspeed to 500 km/h on a heading of North 65 degrees East . A strong wind is…

A:

Q: Graph (by hand) the vector in standard position. What is the angle the vector makes with the…

A:

Q: olve applications involving vectors. A basketball is shot at a 54° angle with the horizontal…

A:

Q: 2. Given a vector v with initial point P₁ = (2,-5) and terminal point P₂ = (-4, 3), write the vector…

A: Disclaimer:  Since you have asked multiple questions, we will solve the first question for you. If…

Q: A ship travels 16 mph at a bearing of $45°W. Write the velocity vector v in terms of i and j. Give…

A:

Q: Given vector (-2,6) and a point (3,2) a. Write a vector equation  b. Write the vector equation as…

A:

Q: Find the magnitude of the vector.

A: The given question is taken from the vector in which we have to find the magnitude of the given…