(a) Explanation Given: The vectors , u 0 = x 0 i + y 0 j for constants x 0 and y 0 , and u = x i + y j Concept Used: The magnitude of a vector u = a i + b j is given by the formula ‖ u ‖ = a 2 + b 2 Calculation: In order to find the set of points in the plane whose coordinates ( x , y ) satisfy ‖ u − u 0 ‖ = 1 , substitute the values of the given vectors in this and simplify further using the magnitude formula. So, it gives ‖ u − u 0 ‖ = 1 ‖ ( x i + y j ) − ( x (b) To determine The set of points in the plane whose coordinates ( x , y ) satisfy ‖ u − u 0 ‖ ≤ r .

6th Edition

ISBN: 9781465208880

Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE

Publisher: Kendall Hunt Publishing

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Chapter 9.1, Problem 43PS

(a)

To determine

The set of points in the plane whose coordinates (x,y) satisfy ‖u−u0‖=1 .

(b)

To determine

The set of points in the plane whose coordinates (x,y) satisfy ‖u−u0‖≤r .

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Chapter 9.1, Problem 42PS

Chapter 9.1, Problem 44PS

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Chapter 9 Solutions

Calculus

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