K to browse... Q3 (8 points) Find general equation of the plane containing the following two...
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
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 of the plane that contains both the line with the equation x = 3 + 2t,y = t , z 8-t, and the line with the equation x = 5 + t,y = 4-t,z = 6 Find the equation of the plane that contains both the line with the equation x = 3 + 2t,y = t , z 8-t, and the line with the equation x = 5 + t,y = 4-t,z = 6
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...
Consider the line Li: = 5t, y=2t - 3, z= t-5. Find the general equation of the plane, II, perpendicular to the line L, and passing through the point (2,3,4).
(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 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).
Find the scalar equation for the plane passing through the point P(-1,0,5) and containing the line L defined by x = 4-6t y=-2+2t z=4-2t