Hey can someone help especially with question (c) and give step by step on how they got the answer?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 21E
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Hey can someone help especially with question (c) and give step by step on how they got the answer?

A river is flowing in a straight line from the point A(1,3) to the point B(5, 1). A
town is located at the point C (2,1). A harbour is located at the point D along the
river, that is closest to the town.
(a) Sketch a picture of the situation and compute vectors AB, AC.
(b) Compute proj BAC.
(c) Find the coordinates of the point D.
Transcribed Image Text:A river is flowing in a straight line from the point A(1,3) to the point B(5, 1). A town is located at the point C (2,1). A harbour is located at the point D along the river, that is closest to the town. (a) Sketch a picture of the situation and compute vectors AB, AC. (b) Compute proj BAC. (c) Find the coordinates of the point D.
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