Crossing a River A captain needs to pilot a boat across ariver that is 2 km wide. The current in the river is 2 km/h andthe speed of the boat in still water is 10 km/h. The desiredlanding point on the other side is 1 km upstream.(a) Determine the direction in which the captain shouldaim the boat.(b) How long will the trip take?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.2: Length And Angle: The Dot Product
Problem 38EQ
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Crossing a River A captain needs to pilot a boat across a
river that is 2 km wide. The current in the river is 2 km/h and
the speed of the boat in still water is 10 km/h. The desired
landing point on the other side is 1 km upstream.
(a) Determine the direction in which the captain should
aim the boat.
(b) How long will the trip take?

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