3. Determine the intersection of the two lines, if any: 2 y+1; z 1. 3 L2:...
Question 4 Consider the lines L, D=1+2, y = 2 – 3t, z = 2+t and L2 X = 3 - 4s, y=1+ 48, z = -3 + 48. We will use these lines for the questions 4 and 5. Are these lines parallel? Explain your answer below. B IV A - A - Ix E - C o o x G You HTML 11 x Ⓡ 5E T To 12pt Pan Question 5 9 pts Determine where these lines...
4) Do the lines: L: x = 2t + 3, y = 3t – 2, z = 4t - 1 and L2 : x = 8 +6, y = 2s + 2, z = 2s + 5 intersect? If not provide a reason, if yes find the intersection point.
(1 point) Determine whether the lines li: x = 8 + 2s, y = 19 + 5s, z = 3 + 2s, SER and l2: x = -4 + 3t, y = -10 + 7t, z = -13 + 5t, tER intersect, are skew, or are parallel. If they intersect, determine the point of intersection; if not leave the remaining answer blanks empty. Do/are the lines: ? Point of intersection:
56. Let Li and L2 be the lines whose parametric equations are L]: x = 41, y = 1 -21, z = 2 + 21 L2: x = 1+1, y = 1-1, Z=-1+ 41 (a) Show that Li and L2 intersect at the point (2,0, 3). (b) Find, to the nearest degree, the acute angle between L and L2 at their intersection. c) Find parametric equations for the line that is perpen- dicular to L, and L2 and passes through...
Calculate the distance between the lines L1:x=1+3t,y=−5+3t,z=−3+1t L1 and L2:x=8+4s,y=−13+5s,z=0+4s
Given lines L1 : Ty (1-1)+(21) -2 1 and L2: y 4 8+t2 3 (a) Find the point of intersection of lines Lị and L2. (b) Determine the cosine of the angle between lines L, and L2 at the point of intersection. © Find an equation in form ax +by+cz = d for the plane containing lines L, and Lu. (d) Find the intersection, if any, of the line Ly and the plane P : 3x – 4y + 72...
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...
x =-y+2 = -z+2 The symmetric equations for 2 lines in 3-D space are given as: 1. L,: x-2 = -y+1 = z+1 a) Show that lines L1 and L2 are skew lines. b) Find the distance between these 2 lines x =1-t y=-3+2t passes through the plane x+ y+z-4=0 2. The line Determine the position of the penetration point. a. Find the angle that the line forms with the plane normal vector n. This angle is also known as...
Question 3 (1 point) Consider the lines: L1: x=-6t, y=1+9t, z=-3t L2: x=1+2s, y=4-3s, z=s Choose their intersection point from below (0,0,1) none (1,2,1) (0,1,0)
1) Show that two lines are skew x+1 y+2 z+3 4:x=y=z and L: +7=5 2) Find the general equation of the plane containing the point P (1,2,3 ) and L, . 3) Find the point Q-the point of intersection the plane found in 2) and the line L. 4) Find the distance from the point (1,-1,2) to the line Lą.