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(1 point) Calculate the distance between the lines L := 0+60, y = -2 +6t, z=0+...
Calculate the distance between the lines L1 : x = −4+7t, y = −4+6t, z = 0+2t and L2 : x = 10+8s, y = −23+8s,z = 8+5s Distance: D = ?
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
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)
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.
3. Determine the intersection of the two lines, if any: 2 y+1; z 1. 3 L2: =5-t. y = t, 2 = 1-+3t, t E R L and evaluate the distance between R(1, 1. -1) and Li 3. Determine the intersection of the two lines, if any: 2 y+1; z 1. 3 L2: =5-t. y = t, 2 = 1-+3t, t E R L and evaluate the distance between R(1, 1. -1) and Li
(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...
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...
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.