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(a) For what value of kwill the lines X₁ k 2 -0------ +t₁-2 and X₂ = -3 = + t₂ intersect?

(a) For what value of kwill the lines X₁ k 2 -0------ +t₁-2 and X₂ = -3 = + t₂ intersect?

Elementary Geometry For College Students, 7e
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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(a) For what value of k will the lines X₁ = k= (b) The line X₁1 = 3 NI 02 3 2 1 +₁ -2 and X₂ = -3 + t₂ 3 2 +t₁-2 intersects the plane 1x - 2y + 2z = 8 at the point with position vector (Note: You may get something like 1x in the equation of the plane: this simplifies to just z.) (c) For what value of k will the line X₂ = intersect? -3 + t₂ 2 be parallel to the plane 1x - 2y + 2z = 8?
Transcribed Image Text:(a) For what value of k will the lines X₁ = k= (b) The line X₁1 = 3 NI 02 3 2 1 +₁ -2 and X₂ = -3 + t₂ 3 2 +t₁-2 intersects the plane 1x - 2y + 2z = 8 at the point with position vector (Note: You may get something like 1x in the equation of the plane: this simplifies to just z.) (c) For what value of k will the line X₂ = intersect? -3 + t₂ 2 be parallel to the plane 1x - 2y + 2z = 8?
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