A boat heads in the direction N 71° E. The speed of the boat relative to the water is 21 mi/h. The water is flowing directly south. It is observed that the true direction of the boat is directly east. (Assume that the i vector points east, and the j vector points north.) (a) Express the velocity of the boat relative to the water as a vector component form. (Round your answer to one decimal place.) (b) Find the speed of the water and the true speed of the boat. (Round your answers to one decimal place.) water mi/h boat mi/h

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.3: Vectors
Problem 40E
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A boat heads in the direction N 71° E. The speed of the boat relative to the water is 21 mi/h. The water is flowing directly south. It is observed that the true direction of the boat is directly east. (Assume that the i vector points east, and the j vector points north.)
(a) Express the velocity of the boat relative to the water as a vector in component form. (Round your answer to one decimal place.)
(b) Find the speed of the water and the true speed of the boat. (Round your answers to one decimal place.)
water
mi/h
boat
mi/h
Transcribed Image Text:A boat heads in the direction N 71° E. The speed of the boat relative to the water is 21 mi/h. The water is flowing directly south. It is observed that the true direction of the boat is directly east. (Assume that the i vector points east, and the j vector points north.) (a) Express the velocity of the boat relative to the water as a vector in component form. (Round your answer to one decimal place.) (b) Find the speed of the water and the true speed of the boat. (Round your answers to one decimal place.) water mi/h boat mi/h
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