Suppose you have a line ` with corresponding equation ax + by + c = 0; also suppose you have points(s, t) and (u, v) not on `. Write the parameterization of the line m passing through (s, t) and (u, v)and use it to show that (s, t) and (u, v) are on opposite sides of ` if and only if there is a rational λbetween 0 and 1 so that the parameterization of m at λ is on the line ` Suppose you have a line with corresponding equation ax +by+c= 0; also suppose you have points(s, t) and (u, v) not on l. Write the parameterization of the line m passing through (s, t) and (u, v)and use it to show that (s, t) and (u, v) are on opposite sides of & if and only if there is a rational Abetween 0 and 1 so that the parameterization of m at A is on the line l.

Line l: ax+by+c=0 The points (s,t) and (u,v) lie in opposite side of the line if as+bt+c and au+bv+c…

Suppose you have a line with corresponding equation ax +by+c= 0; also suppose you have points (s, t) and (u, v) not on l. Write the parameterization of the line m passing through (s, t) and (u, v) and use it to show that (s, t) and (u, v) are on opposite sides of & if and only if there is a rational A between 0 and 1 so that the parameterization of m at A is on the line l.

Suppose you have a line with corresponding equation ax +by+c= 0; also suppose you have points (s, t) and (u, v) not on l. Write the parameterization of the line m passing through (s, t) and (u, v) and use it to show that (s, t) and (u, v) are on opposite sides of & if and only if there is a rational A between 0 and 1 so that the parameterization of m at A is on the line l.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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