Let l1 : (x, y, z) = (131, 89, −83) + r (42, 28, −28) where r ∈ R and l2 : (x, y, z) = (29, 21, −15) + t(−6, −4, 4) where t ∈ R. Show that the lines l1 and l2 are identical. Hint: show that the lines are parallel to each other and have a point in common.
Let l1 : (x, y, z) = (131, 89, −83) + r (42, 28, −28) where r ∈ R and l2 : (x, y, z) = (29, 21, −15) + t(−6, −4, 4) where t ∈ R. Show that the lines l1 and l2 are identical. Hint: show that the lines are parallel to each other and have a point in common.
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.4: Analytic Proofs
Problem 23E: Use the result in Exercise 20 to find the equation of the line that contains 5,-1 and is parallel to...
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Let
l1 : (x, y, z) = (131, 89, −83) + r (42, 28, −28) where r ∈ R
and
l2 : (x, y, z) = (29, 21, −15) + t(−6, −4, 4) where t ∈ R.
Show that the lines l1 and l2 are identical.
Hint: show that the lines are parallel to each other and have a point in
common.
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