1. Let a= (<5,3>) and b= (<1,-1>). Show that there are scalars s and t so that sa + sb=(<-3,-5>) 2. A child walks due east on the deck of a ship at 3 miles per hour. The ship is moving north at a speed of 1 miles per hour. Find the speed and direction of the child relative to the surface of the water. 3. A horizontal clothesline is tied between 2 poles, 10 meters apart. When a mass of 2 kkilo grams is tied to the middle of the clothesline, it sags a distance of 4 meters. What is the magnitude of the tension on the ends of the clothsline?
1. Let a= (<5,3>) and b= (<1,-1>). Show that there are scalars s and t so that sa + sb=(<-3,-5>) 2. A child walks due east on the deck of a ship at 3 miles per hour. The ship is moving north at a speed of 1 miles per hour. Find the speed and direction of the child relative to the surface of the water. 3. A horizontal clothesline is tied between 2 poles, 10 meters apart. When a mass of 2 kkilo grams is tied to the middle of the clothesline, it sags a distance of 4 meters. What is the magnitude of the tension on the ends of the clothsline?
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.2: Determinants
Problem 13AEXP
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1. Let a= (<5,3>) and b= (<1,-1>). Show that there are scalars s and t so that sa + sb=(<-3,-5>)
2. A child walks due east on the deck of a ship at 3 miles per hour. The ship is moving north at a speed of 1 miles per hour. Find the speed and direction of the child relative to the surface of the water.
3. A horizontal clothesline is tied between 2 poles, 10 meters apart. When a mass of 2 kkilo grams is tied to the middle of the clothesline, it sags a distance of 4 meters. What is the magnitude of the tension on the ends of the clothsline?
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