1 Determine whether or not the three given points le on a ne A (1,1,2), B(-1,-9, 3), C (3,2,1) 2. Describe the set of points in space given by {(x, y, z): x=2,y=-4} 3. Describe the set of points in space given by {(x,y,z): -2≤ y ≤ 5 } 4. Describe the set of points in space given by {(x,y,z): x26, y=0, zzo.

Q: 20. What is the locus of a point which is equidistant to the points (2, 4) and (-3, 5).   a. 10x +…

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: A) Find all y such that the distance between the points (-1, 5) and (9, y) is 11. y= B) Find ALL x…

A: To find  A) Find all y such that the distance between the points (-1, 5) and (9, y) is 11.   y=   B)…

Q: 30 0= +시 +씨 2 |and 3x-y-z=3 -8/

A:

Q: What is the geometric object in 3-space represented by the equation (x + y +z)^2 = 0 Choose: 1.…

A:

Q: 25. Determine the x- and y-intercepts. a) [x, y] = [2, –4] + t[3, –1] b) [x, y] = [-8, 11] + t[5, 2]…

A: The given equations are in parametric form. To find x-intercept put y=0 and get the value of…

Q: 2. Find the eanation of the plane Containing the point (2,3,3)'and the line Of intersÉCtion 'of the…

A: We have to find the equation of plane containing the point (2, 3, 3) and the line of intersection of…

Q: Prove that if the points (x1, y1) and (x2, y2) lie on the same line as (x∗1 , y∗1 ) and (x∗2 , y∗2…

A: Prove that if the points (x1, y1) and (x2, y2) lie on the same line as (x∗1 , y∗1 ) and (x∗2 , y∗2…