We consider the equations of a line in symmetric form, when a 0, b 0,

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We consider the equations of a line in symmetric form, when a ≠ 0, b ≠ 0, c ≠ 0.

0x - x a y - Yo b 02-2 C

Let L be the line through P= (x0, y0, z0) with direction vector v = (a, b, c). Show that L is defined by the symmetric equations (10). Use the vector parametrization to show that every point on L satisfies (10).

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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