x – 1 L : 8 y+3 ; z=-19 Consider the line and the plane T:x-3y+z=10, the intersection point between the line L and the plane n corresponds to: a) (8,9, 0) b) (1, –3, 0) c) (9,6, –19) d) (–7, –12, –19)

Q: Find the equation of the plane parallel to the intersecting lines (1,2 +t, -3 – 3t) and (1 – t, 2 –…

A: Let, the direction vector of 1,2+t,-3-3t is v1=0,1,-3 and the direction vector of 1-t,2-3t,-3-2t is…

Q: Which one is the point of intersection of the plane - 3x + 3y + 4z = 49 and the line x = 3-51 y =…

A:

Q: Find an equation for the line that is orthogonal to the plane 3x- y+ 2z =10 and goec through the…

A:

Q: Find a plane containing the point (– 3, – 3, 7(t) = (– 2, – 3, – 5) + t(3, 4) and the line 6, 7).

A: we have to find the equation of plane that contains the point (-3,-3,-4)  and the line…

Q: by the equations { L₁ : X Y Let L₁ and L2 be lines in a 3-dimensional space given { = = Z = 3 + 2t…

A:

Q: J₁ - 6x + 6y Find -6x + 6y 4x + 3y 0, -dA, where R is the parallelogram enclosed by the lines - 6x +…

A:

Q: 1. Determine the point of intersection between the line, L: x = 3+t, y=4-5t, z=1-7t, te R, and the…

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: The equation of the plane through P.(2, 4, :5) perpendicular to the line :X = 5 +t ,Y= 1+ 3t , Z= 4t…

A: (.)  Let the point Px1,y1,z1 and perpendicular line  x-x0a=y-y0b=z-z0c Then the equation of the…

Q: Find a plane containing the point (-2, —8, 1) and the line r(t) = (−1, −1, 6) + t(−4, 1, 6). -18.5x…

A:

Q: Find the intersection point(s) (if any) of the line r(t) = (21,-14, -9) + t(2,3,4) and the plane 19…

A: