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Unformatted text preview: 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 . Dont 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 = 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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This note was uploaded on 08/24/2011 for the course CME 100 at Stanford.