2) determine whether or not the given pair of lines intersect. Also find equation of the plane containing the pair of line L₁: (x, y, z) = (-3-4t, 2+2t, 4 + t) and L₂: (x, y, z) = (2 + 2t, 2 + t, 2 - t). 3) are the two equation of the plane 2x + y + z = 1 and 4x + 2y + 2z = 3 parallel.

Q: Find the equation of the plane through the line of intersection of the planes x+y+z=1and 2x+3y+4z=…

A: The equation of the plane through the intersection of the planes, x+y+z=1 and 2x+3y=4z=5, is…

Q: The equation of the plane that passes through the points (1, -2,1), (-1, -1,7) and (2, -1,3) is :

A:

Q: Find an equation of a plane containing the three points (-3, -1, 1), (-4, -6, 0), (-4, -5, 2) in…

A: This question is related to equation of plane, We will solve it using given information.

Q: e. (-27,0,2)

A: Equation of the line is x-325=y-65 and z=2

Q: Consider the line that contains the point (2, -3, 5) and that has the direction vector (1, 2, 4). a)…

A: Given: The line passing through the point 2,-3,5 and having direction vector 1,2,4, To find: The…

Q: x-1 y+3 12-z Consider the following lines defined by I,: and l2: 9. =- %D 7 x = 2t + 10, y = 5t, z…

A:

Q: nterseeting Lines Finad the plane determined by the Loi Xi=l-2t, , J="l-st,, 2= -2+t, L2: X2=-3+t2,…

A:

Q: Find the intersection of the line and plane: 3z (2x + y) = -5, P = ( r(t) = (3,-1,0) + t (-3, -2,…

A: Given line : r(t)= (3,-1,0)+t(-3,-2,-1) Given plane : 3z-(2x+y)=-5                       2x+y-3z-5=0…

Q: b) Find the equation of the plane containing lines ₁ : x = 2+5t, y = 4+2t, z = -t and l₂: x=2-t₁y =…

A: We have to find the equation of the plane containing lines l1 : x=2+5t, y=4+2t, z=-t and l2 : x=2-t,…

Q: (a) Prove that f: Z→ Z is not a function (that is, it is not a function if both its domain and…

A:

Q: Give an equation of the plane determined by the intersecting lines L1 and L2 = 2t 15 –t and L2 : {…

A: