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19. Find the angle between the line and the plane of the following equations, a. 4:r= 2i +3j-k+(2į - -2k) and the plane 7, : 2x + 4y - z = 1. b. L, :=-2 _ 3z+3 3 and the plane r,:x+3y+ = 1. 4 c. L:x=1+21, y=3+1, z=5+ 2t and the plane z, : 3x- y + z = 12. d. L, :x=2, - y-1 and the plane ,: r•(į+2j-k) =11.

19. Find the angle between the line and the plane of the following equations, a. 4:r= 2i +3j-k+(2į - -2k) and the plane 7, : 2x + 4y - z = 1. b. L, :=-2 _ 3z+3 3 and the plane r,:x+3y+ = 1. 4 c. L:x=1+21, y=3+1, z=5+ 2t and the plane z, : 3x- y + z = 12. d. L, :x=2, - y-1 and the plane ,: r•(į+2j-k) =11.

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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19. Find the angle between the line and the plane of the following equations, a. 4:r= 2i +3j-k +(2į – į– 2k) and the plane 7, : 2x + 4y - z = 1. *_ y-2 _ 3z+3 b. L: and the plane x, :x+ 3y + = = 1. 4 c. L:x=1+21, y= 3+t, ==5+21 and the plane r, :3x – y + z = 12 . d. L :x= 2, - y-1 - 2 and the plane x, : r•(i+2j=k) =11.
Transcribed Image Text:19. Find the angle between the line and the plane of the following equations, a. 4:r= 2i +3j-k +(2į – į– 2k) and the plane 7, : 2x + 4y - z = 1. *_ y-2 _ 3z+3 b. L: and the plane x, :x+ 3y + = = 1. 4 c. L:x=1+21, y= 3+t, ==5+21 and the plane r, :3x – y + z = 12 . d. L :x= 2, - y-1 - 2 and the plane x, : r•(i+2j=k) =11.
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