week03 - Math 43, Fall 2007 B. Dodson Week 3: Finish...

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Math 43, Fall 2007 B. Dodson Week 3: Finish suggested homework 2, . . . Graded Homework 3: pg. 56 - #6, 8, due Mon. Sept 17 Suggested Homework 3: problems from graded Homework 2 plus 1.2 - 42, 43; and 1.3 - 8, 10, 12, 14, 23, 24 due (but not collected) Wed. Sept. 19. Third week. Our text has four versions of the equation of a plane (and even goes back to add more versions of the equation of the line). There are two types, each with two versions. The main type is the normal equation, which can also be written in the form of a general equation. A basic example is given in Example 1.23 (text). If we think about looking for replacements of the slope in the slope-intercept equation y = mx + b, with slope m and y -intercept (0 , b ) , recall that we first used direction vector ± d = [1 , m ] . Then the corresponding vector equation was ±x = [0 , b ] + t [1 , m ] , or the less specfic equation ±x = ± p + t ± d, for point p and direction ± d, which worked both in R 2 and R 3 .
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2 If we try the same for a plane in R 3 , there are two directions in the plane, which we might write as two slopes: ± d 1 = [1 , m 1 , 0] , (change-in- y , relative to x
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week03 - Math 43, Fall 2007 B. Dodson Week 3: Finish...

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