If a line is parallel to the vector 3i + 9j+ 6k and passes through the point P = (5, 5, 4), then the parametric equation of the line is:a. X=5+ 31, Y= 5+ 92, Z= 4+6AO b. X=-5-3A, Y=- 5- 91, Z= -4-6AO c. X=5-3A, Y= 5- 9A, Z= 4-6AO d. X=-5+ 31, Y= -5+ 92, Z= -4+6A

Answered: Image /qna-images/answer/9e2a66d2-3678-431b-8ea5-b18381d6686c.jpg

Answered: If a line is parallel to the vector 3i…

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

See similar textbooks

Similar questions

If a line is parallel to the vector 8i + 5j+3k and passes through the point P = (6,2, 4), then the parametric equation of the line is :
Question 2 a) An aircraft, flying in a straight line, passes through the points (-6,7,2) and (-3,2,3) measured in kilometres. Find the vector form of the equation of the line that describes the flight path of the aircraft. Determine whether or not the aircraft is flying parallel to the ground which is described by the plane -4x + 6y + 42z = 17, where x.y and z are also measured in kilometres. b) A large shade sail is to be hung tautly between the tops of 3 poles. The tops of these poles are located at point A, B, and C as shown in the Figure 1 below. For instance the point A is located at (2, -3,3) m. find the vectors AB and AC and hence the equation of the plane through these three points. 3 m 5 m 2 m 0 2 m 3 m B 3 m 3 m Figure 1: The poles in Q2(b) which the large shade sail is to be hung taughtly between. c) A tunnel is being constructed through a mountain range where the tunnel is being constructed from both ends at the same time. One end of tunnel starts at the point A (80, -287,…
Find the parametric equations for the line passing through points P(2, -3, 1) and Q(4, 1, -4)
If a line is parallel to the vector 6?+6?+9?6i+6j+9k and passes through the point ?=(3,2,1)P=(3,2,1), then the parametric equation of the line is : a. X=3+ 6λ, Y= 2+ 6λ, Z= 1+9λ b. X=-3-6λ, Y=- 2- 6λ, Z= -1-9λ c. X=3-6λ, Y= 2- 6λ, Z= 1-9λ d. X=-3+ 6λ, Y= -2+ 6λ, Z= -1+9λ
If a point A, the position vector ai + bj lies on the line L, vector equations r = 2i +5j +c(i-j), find the value of a

Recommended textbooks for you

Elementary Geometry For College Students, 7e

Geometry

ISBN:

9781337614085

Author:

Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:

Cengage,

Elementary Geometry for College Students

Geometry

ISBN:

9781285195698

Author:

Daniel C. Alexander, Geralyn M. Koeberlein

Publisher:

Cengage Learning

Elementary Geometry For College Students, 7e

Geometry

ISBN:

9781337614085

Author:

Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:

Cengage,

Elementary Geometry for College Students

Geometry

ISBN:

9781285195698

Author:

Daniel C. Alexander, Geralyn M. Koeberlein

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS

If a line is parallel to the vector 3i + 9j+ 6k and passes through the point P = (5, 5, 4), then the parametric equation of the line is: a. X=5+ 31, Y= 5+ 92, Z= 4+6A O b. X=-5-3A, Y=- 5- 91, Z= -4-6A O c. X-5-3A, Y= 5- 9A, Z= 4-6A O d. X=-5+ 31, Y= -5+ 92, Z= -4+6A