Given the lines 1₁ and 12; ₁:x=1+3t, y = 26t, z = 7t-3, x-4 6-y -8 3 5-z 5 (a) Show that 1₁ and 1₂ are skewed by showing that they do not intersect and not parallel. :ܕܐ = (b) Find the equation of the plane containing the line 1₁ and parallel to the plane containing the line 1₂. Hence obtain the shortest distance between the lines 1₁ and 12. (c) Find the acute angle between the line 7₁ and the plane 3x + 5y + 4z = 6.

Given the lines 1₁ and 12; ₁:x=1+3t, y = 26t, z = 7t-3, x-4 6-y -8 3 5-z 5 (a) Show that 1₁ and 1₂ are skewed by showing that they do not intersect and not parallel. :ܕܐ = (b) Find the equation of the plane containing the line 1₁ and parallel to the plane containing the line 1₂. Hence obtain the shortest distance between the lines 1₁ and 12. (c) Find the acute angle between the line 7₁ and the plane 3x + 5y + 4z = 6.

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 22E: Use the result in Exercise 20 to find the equation of the line that contains 4, 5 and is parallel to...

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