Help
Contact
For teachers and institutes
Search courses, problems, tests…
A
A
>_
StemPy Lab
Courses ▾
Problems ▾
Practice ▾
Mock Tests
Classes
Community ▾
A
A
A pipe runs from the point P(3, -2, 4) to the point… | StemPy Lab
Quizzes
/
A pipe runs from the point P(3, -2, 4) to the point Q(4, 2, 12), with coordinates in metres. Which set gives the direction cosines of the line PQ in the direction from P to Q?
Mathematics
Easy
High School (11–12)
Vectors and Three-Dimensional Geometry › Three-Dimensional Geometry
A-Level
IB
Created by
StemPy Lab
A pipe runs from the point
P
(
3
,
−
2
,
4
)
P(3, -2, 4)
P
(
3
,
−
2
,
4
)
to the point
Q
(
4
,
2
,
12
)
Q(4, 2, 12)
Q
(
4
,
2
,
12
)
, with coordinates in metres. Which set gives the direction cosines of the line
P
Q
PQ
P
Q
in the direction from
P
P
P
to
Q
Q
Q
?
(
−
1
9
,
−
4
9
,
−
8
9
)
\left(-\dfrac{1}{9},\ -\dfrac{4}{9},\ -\dfrac{8}{9}\right)
(
−
9
1
,
−
9
4
,
−
9
8
)
(
1
13
,
4
13
,
8
13
)
\left(\dfrac{1}{13},\ \dfrac{4}{13},\ \dfrac{8}{13}\right)
(
13
1
,
13
4
,
13
8
)
(
1
,
4
,
8
)
(1,\ 4,\ 8)
(
1
,
4
,
8
)
(
1
9
,
4
9
,
8
9
)
\left(\dfrac{1}{9},\ \dfrac{4}{9},\ \dfrac{8}{9}\right)
(
9
1
,
9
4
,
9
8
)
Check Answer
Log in to save
Tag someone
⚑ Report
← All Quizzes
← A surveyor writes down four sets of three numbers as possible direction cosines of a line in the plan of a hall. Only one of the sets can be the direction cosines of a real line. Which one is it?
A line is given by r = (2î - ĵ + 3k̂) + λ(4î + 5ĵ - 2k̂). Which of these is the same line in Cartesian form? →
More on
Vectors and Three-Dimensional Geometry › Three-Dimensional Geometry
Discussion (0)
Log in
to join the discussion.
Loading…
All questions on this topic →
Problems on this topic
A slab is cut along the plane 2x - y + 2z = 3, with coordinates in metres…
Hard
Two walls of a tunnel lie in the planes 2x + y - z = 3 and x + 3y + 2z = 9, with coordinates in…
Medium
Two flat plates are parallel, and they lie in the planes 2x - 2y + z = 8 and 2x - 2y + z = -4, with…
Medium
A ceiling in a hall is tilted and lies in the plane 4x - 4y + 7z = 7, with coordinates in metres…
Easy
All problems on this topic →