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A tent has two parallel guy ropes along the lines… | StemPy Lab
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A tent has two parallel guy ropes along the lines through (1, 1, 1) and (7, 1, -2), both with direction ratios (2, 2, 1). Lengths are in metres. What is the distance between the two ropes?
Mathematics
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High School (11–12)
Vectors and Three-Dimensional Geometry › Three-Dimensional Geometry
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A tent has two parallel guy ropes along the lines through
(
1
,
1
,
1
)
(1, 1, 1)
(
1
,
1
,
1
)
and
(
7
,
1
,
−
2
)
(7, 1, -2)
(
7
,
1
,
−
2
)
, both with direction ratios
(
2
,
2
,
1
)
(2, 2, 1)
(
2
,
2
,
1
)
. Lengths are in metres. What is the distance between the two ropes?
18
m
18\ \text{m}
18
m
6
m
6\ \text{m}
6
m
3
5
m
3\sqrt{5}\ \text{m}
3
5
m
2
m
2\ \text{m}
2
m
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← A sailor models two ropes of a rigging as the lines through (2, -3, -2) with direction ratios (2, 1, -2) and through (-4, -4, 2) with direction ratios (1, 1, 0). Lengths are in metres. What is the shortest distance between the ropes?
A drone is at the point (7, 5, 12) and a straight pipe lies along the x-axis, with lengths in metres. What is the distance of the drone from the pipe? →
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