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
Question1:x=2-t, y=3-2t, z=4-3t
a) Explain why the work done by a force field ?(?, ?, ?) is the
line integral ∫c ? ∙ ?? where C is a curve defined by ?(?) = ?(?) ?
+ ?(?)? + ?(?)?
b) Find the work done by the force field ?(?, ?) = −?? + ?? on a
particle moving along the straight line y = 2x + 3 from A(0,3) to
B(1,5)
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.
3. Given the parametric equations x = 3t /1 + t^3 and y = 3t^2
/1 + t^3 . a) Show that the curve produced also satisfies the
equation x^3 + y^3 = 3xy. b) Compute the limits of x and y as t
approaches −1: i. from the left ii. from the right c) To avoid the
issue in part b), graph the curve twice in the same command, once
for −5 < t < −1.5 and once for...
Show complete solution
1. Show that the lines ?/1 = y+3/ 2 = z+1/3 and x-3/2 = y/1 =
z-1/-1 intersect by finding their point of intersection. Find the
equation of the plane determined by these lines. Find parametric
equations for the line that is perpendicular to the two lines and
passes through their point of intersection.