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\ Let v = (v, v2) be a direction vector on a line . The number 8 %3D defined to be the slope of the line ( with, of course, vn #0. Verify the following: (a) Is the definition of 8 well-defined? (b) Show that the line through the point P= (r1, y) with a slope 3 has the equation y = y - B(1 - r).

\ Let v = (v, v2) be a direction vector on a line . The number 8 %3D defined to be the slope of the line ( with, of course, vn #0. Verify the following: (a) Is the definition of 8 well-defined? (b) Show that the line through the point P= (r1, y) with a slope 3 has the equation y = y - B(1 - r).

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 39RE
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\ Let v = (v), v2) be a direction vector on a line e. The mumber 3 2. defined to be the slope of the line ( with, of course, un # 0. Verify the following: (a) Is the definition of 3 well-defined? (b) Show that the line through the point P= (r1, y1) with a slope 3 has the equation y = y1 - B(r - 1). 4. . vectors that is proportional to u. Let u # 0, where o is the zero vector. Show that there are exactly two unit 5. (. that if N' is another unit normal vector to ( and P' is another point on (, then for each X€ E, we have Fix a point P on the line é and let N be normal unit vector to . Show (X – P, N)| = (X – P,N')|
Transcribed Image Text:\ Let v = (v), v2) be a direction vector on a line e. The mumber 3 2. defined to be the slope of the line ( with, of course, un # 0. Verify the following: (a) Is the definition of 3 well-defined? (b) Show that the line through the point P= (r1, y1) with a slope 3 has the equation y = y1 - B(r - 1). 4. . vectors that is proportional to u. Let u # 0, where o is the zero vector. Show that there are exactly two unit 5. (. that if N' is another unit normal vector to ( and P' is another point on (, then for each X€ E, we have Fix a point P on the line é and let N be normal unit vector to . Show (X – P, N)| = (X – P,N')|
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