7. The line through the points (0, 2, 1) and (2, 1, -3)

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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x= -1 + 2t, y = 6 - 3t, z = 3 +9t
4. The line through the point (0, 14, -10) and parallel to the line
plane x + 3y + z = 5
5. The line through the point (1, 0, 6) and perpendicular to the
6-12 Find parametric equations and symmetric equations for the
line.
6. The line through the origin and the point (4, 3, -1)
7. The line through the points (0, 2, 1) and (2, 1, -3)
8. The line through the points (1, 2.4, 4.6) and (2.6, 1.2, 0.3)
9. The line through the points (-8, 1, 4) and (3, -2, 4)
10. The line through (2, 1, 0) and perpendicular to both i + j
and j + k
11. The line through (-6, 2, 3) and parallel to the line
x = y = z + 1
12. The line of intersection of the planes x + 2y + 3z = 1
and x = y + z = 1
13. Is the line through (−4, −6, 1) and (-2, 0, − 3) parallel to the
line through (10, 18, 4) and (5, 3, 14)?
14. Is the line through (-2, 4, 0) and (1, 1, 1) perpendicular to the
line through (2, 3, 4) and (3, -1, -8)?
15. (a) Find symmetric equations for the line that passes
through the point (1, -5, 6) and is parallel to the vector
(-1, 2, -3).
quired line in part (a) inter-
22.
23
23
24
25
20
2
2
3
$3
:
Transcribed Image Text:x= -1 + 2t, y = 6 - 3t, z = 3 +9t 4. The line through the point (0, 14, -10) and parallel to the line plane x + 3y + z = 5 5. The line through the point (1, 0, 6) and perpendicular to the 6-12 Find parametric equations and symmetric equations for the line. 6. The line through the origin and the point (4, 3, -1) 7. The line through the points (0, 2, 1) and (2, 1, -3) 8. The line through the points (1, 2.4, 4.6) and (2.6, 1.2, 0.3) 9. The line through the points (-8, 1, 4) and (3, -2, 4) 10. The line through (2, 1, 0) and perpendicular to both i + j and j + k 11. The line through (-6, 2, 3) and parallel to the line x = y = z + 1 12. The line of intersection of the planes x + 2y + 3z = 1 and x = y + z = 1 13. Is the line through (−4, −6, 1) and (-2, 0, − 3) parallel to the line through (10, 18, 4) and (5, 3, 14)? 14. Is the line through (-2, 4, 0) and (1, 1, 1) perpendicular to the line through (2, 3, 4) and (3, -1, -8)? 15. (a) Find symmetric equations for the line that passes through the point (1, -5, 6) and is parallel to the vector (-1, 2, -3). quired line in part (a) inter- 22. 23 23 24 25 20 2 2 3 $3 :
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