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

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

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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plane x + 3y + N pendicular to the line. 6-12 Find parametric equations and symmetric equations for the 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 { ½ 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). (b) Find the points in which the required line in part (a) inter- sects the coordinate planes. 16. (a) Find parametric equations for the line through (2, 4, 6) that 22 23 23 24 25 26 2. 28 25 30 √3 3. 3
Transcribed Image Text:plane x + 3y + N pendicular to the line. 6-12 Find parametric equations and symmetric equations for the 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 { ½ 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). (b) Find the points in which the required line in part (a) inter- sects the coordinate planes. 16. (a) Find parametric equations for the line through (2, 4, 6) that 22 23 23 24 25 26 2. 28 25 30 √3 3. 3
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