9. (a) Find an equation of the plane passing through these three points: (1,0, 1), (-1, 2, -3), and (2,0, -1). (b) Find the line of intersection between the plane 2x+4y+2z = 5 and the plane - 2x+3y-4z = 24. (Hint: for a point to be in the intersection, it must be on both planes.)

Q: Find an equation (in standard form and in general form) of the plane containing the points (2, 1,…

A:

Q: The line whose equation is given as: (x-2z-2=0, y-22 -0) intersects the plane (x-2y+2-1-0) at the…

A: Given: x-2z-2=0 y-2z=0 equation of plane x-2y+z-1=0

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 the plane passing through the three points: (1, -2, 1), (-1, -1, 7), (2, -1, 3).

A: Introduction: An equation of the plane passing through the points a0,b0,c0, a1,b1,c1, and a2,b2,c2…

Q: Find the equation of the plane determined by the intersecting lines: (x-2)/3=(y+5)/-2=(z+1)/4 and…

A: We have to find the equation of plane determined by the intersection lines.

Q: Let A:(-1, 1, –1), B:(2,0, 2), C:(4, 1, –3), and D:(-3, 1, 10) be points in R. (a) Find the angles…

A: Since you have posted a question with multiple sub-parts, we will solve only first three sub-parts…

Q: Let Az+By+ Cz=698 be the equation of the plane passing through Po(2,-22,-22) and P, (1,2,3) and…

A: We have to find the value of B in the equation of plane.If the two planes are perpendicular, then…

Q: 4. Find the equation of the plane through the given points. (a) (1,1,2), (0, 0, 1), and (-2, -3,0).…

A: We have to find equation of plane passing through given points in part a) and part b) Concept…

Q: Find an equation of the plane through the three points given: P= (0,0, 1) , Q =(-1,4,2), R=(-2,–2,…

A: We have to find the equation of a plane which passes through the following points -  P = (0,0,1) Q =…

Q: Consider the lines r(t) = (2-3, +4--1) and r(s) (+4,- +3,3+6). A. Show that these two lines…

A: