Let l,,l2,lz be the lines X(t) = (1,1, 2) + t(1,2,3), X(s)= (9,8,11) + s(2,1,1) and X (r) = (0,0,0) +r(2,4,6) respectively. a) Do lines l, and l, intersect? If so, at what point? If not, why not? Justify your answer. p) Do lines l, and l, intersect? If so, at what point? If not, why not? Justify your answer. ODoes lines l, and intersect the plane x+ y+z =10? If so, at what point? If not, why not? Justify your answer.
Let l,,l2,lz be the lines X(t) = (1,1, 2) + t(1,2,3), X(s)= (9,8,11) + s(2,1,1) and X (r) = (0,0,0) +r(2,4,6) respectively. a) Do lines l, and l, intersect? If so, at what point? If not, why not? Justify your answer. p) Do lines l, and l, intersect? If so, at what point? If not, why not? Justify your answer. ODoes lines l, and intersect the plane x+ y+z =10? If so, at what point? If not, why not? Justify your answer.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
11
Transcribed Image Text:10. Find the volume of the parallelepiped determined by the following vectors:
v = 2i +3j-2k, u=i-j, w= 2i+3k
11. Let l,,l2,l3 be the lines X(1) = (1,1,2) + t(1,2,3), X(s)=(9,8,11)+ s(2,1,1) and
X(r) = (0,0,0)+r(2,4,6) respectively.
a) Do lines l, and l, intersect? If so, at what point? If not, why not? Justify your
answer.
b) Do lines l, and l, intersect? If so, at what point? If not, why not? Justify your
answer.
c) Does lines l, and intersect the plane x+y+z =10? If so, at what point? If not,
why not? Justify your answer.
12. Find the equation of plane (in standard form and point normal form) that contains
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