Q3 (8 points) Find general equation of the plane containing the following two lines: 2 C...
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
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...
In problems 7-8, find out whether there exists a plane containing the two given lines. If there is such a plane, find its equation. Ll: x=2-t, y=3+2+, z = 4+t L2: =l+, y = 5 – 2s, z = 5+ 8. Lị: x=1+t, y = 2 – t, z = -3+ 2t L2: 2 + 2y +2=4, 2-y + 22 = -3
Find the equation for a plane containing 3 points: A(2, 2,1) in the form: ax+by+cz+d = 0 C(0, -2,1). Put the plane equation B(3,1, 0) х — 3 z+2 = y+5 = 2 L: Find the intersection point between 2 lines whose symmetric equations are: 4 х-2 L, : у-2 = z-3 -3 Find the parametric equation for a line that is going through point A(2,4,6) and perpendicular to the plane 5х-3у+2z-4%3D0. Name: x-3y4z 10 Find the distance between 2...
Find an equation for the plane containing the two (parallel) lines v, = (0, 1, -3) + +(2, 5, -1) and v, = (3,-1,0) + t(2, 5, -1).
3. (10 points) Find the angle between the following two lines х 1 y 2 + 3 Lj: = -1 -4 1 х Y + 2 Z L2 : 2 -2 -1' and give the judgement and reason whether the two lines lie in the same plane.
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...
(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...