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exercises3 - ~ AC and ~ BC(which will depend on your...

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SUGGESTED EXERCISES FOR LECTURE 3 I forgot to include these exercises in my lecture notes when I posted them. The lecture notes have now been updated, but in case you’ve already printed off the notes, here are just the exercises. Suggested Reading: Sections 3.3 and 3.5 of Nicholson. The many examples are very helpful if you are first encountering this material, and he certainly did many more examples than we did in class. Suggested Exercises: Section 3.3 (page 158): #1, 2bdfhj, 4b, 6, 7bd, 8b, 10bd, 11bd, 12bd, 1 3bdej, 14b, 17, 18, 19b, 21b, 25bdfh Section 3.5 (page 179): #1b, 3b, 4bd, 6 And here are some hints: Hint for Section 3.3 #6: break this problem up into many steps: find the equation of the line, pick an arbitrary point on the line, calculate
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Unformatted text preview: ~ AC and ~ BC (which will depend on your parameter t ), then calculate their norms, then solve. Ouch! • Hint for Section 3.3 #8: this is similar to what we did in class; see Example 9 page 153. Note that unless ~ 0 is on the line, it is NOT correct to just project your position vector; a good picture will help you see that. • Hint for Section 3.5 #1: a triangle has exactly half of the area of the corresponding parallelogram. • Hint for Section 3.5 #6: the hypothesis lets you write ~u =-~v-~w so you can use the algebraic rules (page 177) to simplify the expression (recalling that ~u × ~u = ~ 0 for any vector ~u ). (This question is mainly for fun.) 1...
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