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Homework2

# Homework2 - CME 100 Vector Calculus for Engineers Prof Eric...

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CME 100 Fall 2010 Vector Calculus for Engineers Page 1 of 2 Prof. Eric Darve Homework 2 – Due 10/6 Read the instructions for doing homeworks in the course information handout. You can find this document on coursework . Don’t forget to write down on your paper the names of the members of your team and their role. For all questions, show your work and explain your reasoning. MATLAB Workbook: Exercises 1-6 Exercises: 1. Give a geometric description of the set of points whose coordinates satisfy the equations: x 2 + y 2 + z 2 = 4 , y = x 2. Find a vector of length 5 in the direction of (8 , 1 , - 5). 3. The wind exerts a 1000 N force on the sail of a boat. How much work did the wind perform in moving the boat forward by 1 km? Give your answer in N m. Center line of the boat Sail ~ F θ = 60 4. Consider a circle with center O . AB is a diameter. The point C is on the circle. Using dot products show that CA is orthogonal to CB . Hint: use the origin and vector --→ CO .

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Homework2 - CME 100 Vector Calculus for Engineers Prof Eric...

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