Determine whether the lines ?1:?=6+3?,?=6+2?,?=13+4? and
?2:?=−11+4??=−8+4??=−13+7? intersect, are skew, or are parallel. If
they intersect,...
Determine whether the lines ?1:?=6+3?,?=6+2?,?=13+4? and
?2:?=−11+4??=−8+4??=−13+7? intersect, are skew, or are parallel. If
they intersect, determine the point of intersection; if not leave
the remaining answer blanks empty.
Solutions
Expert Solution
compare both lines
system Ax=b is
augmented matrix is
solution is
so put the value of s=2 in line 2 or we can put the value of
t=-3 in line 1
Determine whether the lines:
L1:x=19+5t,y=7+4t,z=13+3t
and
L2:x=−8+6ty=−17+6tz=−8+6t
intersect, are skew, or are parallel. If they intersect,
determine the point of intersection.
Point of intersection ( , , )
I know they intersect, I just don't know where the point is.
Thanks!
Determine whether the following two lines are parallel,
intersecting, or skew. If they are skew, find the distance between
them
L1 : x = 3 + 2t, y = 4 − 3t, z = −1 − 4t and
L2 : 1 + 2s, y = 2 + s, z = 3 + 2s
Determine whether the following two lines are parallel,
intersecting, or skew. If they are skew, find the distance between
them L1 : x = 3 + 2t, y = 4 − 3t, z = −1 − 4t and L2 : 1 + 2s, y =
2 + s, z = 3 + 2s
Given two lines in space, either they are parallel, they
intersect, or they are skew (lie in parallel planes). Determine
whether the lines below, taken two at a time, are parallel,
intersect, or are skew. If they intersect, find the point of
intersection. Otherwise, find the distance between the two
lines.
L1: x=1-t, y=-2-2t, z=1-t
L2: x=-1+2s, y=-5+4s, z=1+2s
L3: x=-1+2r, y=-5+3r, z=2-r
Find for L1 and L2, L2 and L3, L1 and L3.
Given two lines in space, either they are parallel, they
intersect, or they are skew (lie in parallel planes). Determine
whether the lines below, taken two at a time, are parallel,
intersect or are skew. If they intersect, find the point of
intersection. Otherwise, find the distance between the two
lines.
L1: x=1-t, y=1-2t,z=2-2t, -infinity is less than t is less than
infinity
L2: x=-5-2s, y=-13-4s, z=2-4s, -infinity is less than s is less
than infinity
L3: x=1+2r, y=1+5r, z=2+r,...
Match No.
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
Player A
8
42
56
68
91
123
12
46
57
137
5
80
14
10
19
Player B
38
44
46
59
57
61
48
42
51
39
58
41
55
45
68
1. For the given data set representing the runs scored by two
players in last 15 matches, conduct the following analysis:
i. Which average you will use to summarize...
Day
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
Number of Aides Absent
5
8
11
15
4
2
7
1
4
6
14
19
3
5
8
In which of the following ranges you can find the Upper Control
Limit of the control chart?
0.1427
0.1536
0.1677
Not computable with information available
In which of the following ranges you can find the Lower Control
Limit of the control chart?
Does not exit...
student
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
Test score
67
67
87
89
87
77
73
74
68
72
58
98
98
70
77
Above we have the final averages of the last stats and I want to
know if the class average falls within the boundaries of all my
statistics classes for the past 20 years.
Find the sample size, mean, and standard deviation of the data
above (Table 1)....