Consider the points P3 (а, - 4, - 4) Q=(-5, – 4, – 5) R=(- 1, - 1,- 3) a) Find the value of "a" so that the plane containing P,Q,R is parallel to the plane Зх + 16у - 30z368 a= 5 b) Use the value of "a" found above to write an equation of the plane containing the points P,Q,R

Q: Explain why the three points (2,3,-1), (8,5-5) and (-1,2,1) do NOT determine a plane. You must…

A: Given problem:- Explain why the three points (2,3,-1), (8,5-5) and (-1,2,1) do NOT determine a…

Q: Find a set of symmetric equations for the line “A" perpendicular to the lines having direction…

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: 3- Find an equation of the Plane perpendicular to the line through (2,2,-9) and (7,-1,3) and…

A: To Find: Equation of plane perpendicular to the line through the points (2,2,-9) and (7,-1,3) and…

Q: Write down the equation of the plane containing the point (-8, 3, 7) and parallel to the plane given…

A:

Q: Find the equation of the plane through (-1,6,2) and perpendicular to the join of (1,2,3) and…

A: We have to Find the equation of the plane through (-1,6,2) and perpendicular to the joining of…

Q: Find the plane that contains:  P1(-1,1,-2), P2(-2,2,4),P3(0,2,-2)

A:

Q: Find the equation of the plane through (1, 0, 1), (−1, 2, 2) and (0, 0, 2).

A:

Q: Find the line perpendicular to y=2x-3 and through the point (2,-3) B) find the lines both parallel…

A:

Q: QUESTION Consider P4 be a set of all the point on a plane through the origin in R4. The general…

A: Given: P4=w,x,y,z∈R4 | aw+bx+cy+dz=0, a,b,c,d are constants not all zero We have to show that P4…

Q: Complete the squares and shift the origin for the equation z= 2a + y? - 6x + 4y+3. Which of the…

A: Completing the squares and shifting the origin for the equation, z=2x2+y2-6x+4y+3…

Q: What is the equation of the plane through the point (4, -2, 3) and parallel to the plane 3x - 7z =…

A:

Q: How would I find the equation of the plane that goes through the points (3,2,1), (4,4,1), and…

A:

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

A:

Q: Determine the parametric and symmetric equations for the line through the given points (2, –7,5),…

A:

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.