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21. Given the equation of two lines; y=-4+t and z=1-t, l₁: x=2+3t, l₂x = -1 + 2s, y = -4+s and 2=-2-2s. Find (a) the point of intersection between the lines 1 and 2, (b) the acute angle between the lines ₁ and 2 at the point of intersection.

21. Given the equation of two lines; y=-4+t and z=1-t, l₁: x=2+3t, l₂x = -1 + 2s, y = -4+s and 2=-2-2s. Find (a) the point of intersection between the lines 1 and 2, (b) the acute angle between the lines ₁ and 2 at the point of intersection.

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.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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21. Given the equation of two lines; l1: x = 2+ 3t, y = -4+t and z = 1 - t, %3| l2: x = -1+ 2s, y = -4+ s and z = -2 – 2s. Find (a) the point of intersection between the lines l1 and l2, (b) the acute angle between the lines l1 and l2 at the point of intersection.
Transcribed Image Text:21. Given the equation of two lines; l1: x = 2+ 3t, y = -4+t and z = 1 - t, %3| l2: x = -1+ 2s, y = -4+ s and z = -2 – 2s. Find (a) the point of intersection between the lines l1 and l2, (b) the acute angle between the lines l1 and l2 at the point of intersection.
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