In problems 7-8, find out whether there exists a plane containing the two given lines. If...
Q3 (8 points) Find general equation of the plane containing the following two lines: 2 C = 2t - 4 LL: = 2t +1 y = - +3 5 +2 and L2:y 2 2 5t - 1
K to browse... Q3 (8 points) Find general equation of the plane containing the following two lines: = 2t - 4 ci : y 2t +1 = -t+3 5t+2 and L2: y z 5 - 1
Find general equation of the plane containing the following two lines: x = 2t - 4 2t + 1 =t+3 5,12 and L2: y = -t y 2 - 5t - 1 2
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...
(a). Find the equation of the plane through Po = (1,2,1) with normal vector i = (3,1,2) (b). Find the equation of a plane through Po = (2,3,1) and parallel to the plane P:3x + 2y -- z = 4 | Q4. Consider the line z-3 y-2 3 L, : * - - - L2: **** 2+5 y-3 -1 2 (i). Write the equations of both lines in parametric form (ii). Find the direction vectors V1, V2 of the lines...
Find the plane determined by the intersecting lines. L1 x= -1 +41 y=2+t z= 1 - 4 L2 x = 1 - 4s y= 1 + 25 z=2-2s The equation of the plane is (Type an equation.)
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
ILI UU Q3 (8 points) Find general equation of the plane containing the following two lines C: y =24+1 t +3 5+2 and = 24 L : y = -2 25t-1 + Drag and drop your files or Click to browse Q4 (8 points) (a) Find parametric equations of the line passing through the point A(S. -2,9) and perpendicular to the plane 32 - y - 63 + 2 = 0. (b) Find two planes that intersect along the line...
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.
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...