Determine if each pair of lines are parallel, skew or intersecting.
If the lines intersect, find the point of intersection. Otherwise, find the distance between the lines. Then find a point on each line such that the distance between the points is the distance between the lines. Draw a picture, and use vectors instead of distance formulas to find the distance.
Line #1 = < -2,2,8> + t< 1,2,2>
Line#2 = < 0,1,5 > + t< -2,-4, -4>
Determine if each pair of lines are parallel, skew or intersecting. If the lines intersect, find the point of intersection. Otherwise, find the distance between the lines. Then find a point on each li...
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. 12.5.65 Question Help 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...
The same question but has 3 parts 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. Select the correct choice below and fill in the answer box(es) to complete your choice. Type exact answers, using radicals as needed.)...
(1 point) Determine whether the lines 2 and し2 intersect, are skew, or are parallel. If they intersect, determine the point of intersection; if not leave the remaining answer blanks ompiy. The lines intersect Point of intersection: (
Question (2): (5 Marks) x-1-3-y x-1-6-y:+2 are (A) Determine intersecting or skew. If they intersect, find the point of intersection Given SI: x2-2y2 = 4z2-252 &s2: (0 Show that the tangent planes to the two surfaces at P(2,0,-8) are perpendicular. whether the lines parallel, 2-z & 12 Marks] 4x2 +9y2-24. (B) Find the points on Si at which the tangent plane is parallel to the plane x+y+32-5 3 Marks] Question (2): (5 Marks) x-1-3-y x-1-6-y:+2 are (A) Determine intersecting or...
3. (14 points) Given the lines: 21:2(t) = -3t – 1, y(t) = 2t +4, z(t) =t+4 12: x(u) = 5 - 3u, y(u) = u +1, (u) = u +2 1. Determine whether li and ly are parallel, skew or intersect. If the lines intersect, find the point of intersection of li and 12. 2. If the lines intersect or are parallel, give an equation for the plane which contains both lines. If the lines are skew, find a...
Please provide clear handwritings for answers and specific step by step explanations of questions 3 and 4. Thank you. 3. Are the plane 6z 3y - 4z-12 and line L 2, y 32t, z2-2t parallel? If so, find the distance between them. If they are not parallel, but are intersecting (at a single point), find the point of intersection. If they are none of the above, draw a cat. 4. The line r(t) = 〈1, 1,1〉 +t(1,3,-1) and the plane...
Determine whether the given lines intersect. If so, find the point of intersection. (If not, enter NOT.) x = 6 + t, y = 3 + t, z = -1 + 2t x = 8 + 2s, y = 9+ 4s, z = -3 + S (x, y, z) = eBook
Part II. (4 pts) Given the axiom set for the Incidence Geometry as below: Undefined terms: point, line, on Definitions: 1. Two lines are intersecting if there is a point on both. 2. Two lines are parallel if they have no point in common. Axioms: I. Given any two distinct points, there is a unique line on both. II. Each line has at least two distinct points on it. III. There exist at least three points. IV. Not all points...
please show work? SCALCCC4 9.5.062. Find the distance between the skew lines with the given parametric equations. X = 2 + t, y = 2 + 6t, z = 20 x = 2 + 35, y = 4 + 155, 2=-2 + 45.
Problem 9. Determine whether the lines -1+5t;y 3+4t; 2+t and { 드1-y 2 = 프t:3} are parallel, skew, or intersect. In each case, find the distance and the angle between the lines,