18. Which point does not lie on the same plane as the points P(1,5,6), Q(-2,-3,4), and R(-1,3,2)? a. S(0,-1,8) c. S(1,-3,2) d. S(4,13,8) b. S(0,4,4)

Q: Find the point of the way from (1, 3, 2) to (-9, -8, 10). 0 P=0 0

A:

Q: 12. Which ordered pair does NOT represent a point on the coordinate grid below? (6.1B, 6.1E, 6.1F) 4…

A: Optuon c (3, -5/2) does not belong in the grid.

Q: 4. Determine the slope-intercept form of the line from the two points on the line. a) (3, – 1), (-6,…

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

Q: 9. The points (1, 2), (5, A), (A, 7) lie on a straight line. Find all possible values for A.

A:

Q: 30) The coordinates of the endpoints of line segment CD are C(–4, 1) and D(3, 4). Reflect the line…

A: x-axis is also known as the principal axis . The y-coordinate of the point that lies on x-axis is 0.

Q: The plane through the points (-4,-8,-1), (8,3,5), (7,8,6) has equation Ax + By + Cz= D. If A = - 19…

A: Since plane passes through the given points therefore

Q: _8. What type of quadrilateral is PQRS? Given: P(-5, 2); Q(4,5); R(6, -1); S(-3,4) b. rectangle _9.…

A: Solve above questions.

Q: In the projective plane, Z5P2, find the line that contains the points (1,2,1) and (2,1,4).

A: In projective geometry over a finite field, such as , we can find the line that contains two points…

Q: Determine the equations of the line through P(-1,2, 1) and parallel to the line of meek section of…

A: Given P(-1,2,1) and parallel to the line of intersection of the planes 2x+y+z=2, x+2y+z=10

Q: determine if the two lines are parallel, orthogonal or neither. n) The line by i=(4– 7t,-10+5t,21–…

A: Given

Q: 2. Ifc = [m, n, 1] is perpendicular to both a = [4, 1, -2] and b = [2, -3, -8], find m and n.

A:

Q: 35. If the distance between the points A(-2,4) and B(x,-8) is 13, what are the possible values of x?…

A: distance AB =(-2-x)2 +(4-(-8))2 13 = (-2-x)2 +144 169 (-2-x)2 + 144 (-2-x)2  = 25 -2 -x =+ 5 -2 -x =…

Q: The line that is perpendicular to the lines r = ⟨4t, 1 + 2t, 3t⟩ and R = ⟨-1 + s, -7 + 2s, -12 +…

A: The given lines r→=j^+t4i^+2j^+3k^R→=-i^-7j^-12k^+si^+2j^+3k^ Let,  4i^+2j^+3k^=b1→i^+2j^+3k^=b2→ As…

Q: 8) Do the points (1,0, -1), (0,2,3), (-2,1,1), and (4,2,3) lie in the same plane?

A: The k points are coplanar then we say k points are lie in the same plane.

Q: The point of intersection of y = x² + 6 and x = 2 is ... A) (1,8) B) (2,8) C) (2, 10) D) (10, 2)

A:

Q: Express u= (15,46) as a linear combination urv + sw, where v (3,9) and w(4.13). (Use symbolic…

A:

Q: Show that quadrilateral QUAD, with Q = (-1.-4). U = (4. 11). A= (1, 12), and D= (-4,-3), is a…

A:

Q: prove that points are collinear 3. P(-15,10), Q(0,-20), R(-10,0)

A: Given ; The points are P(-15,10), Q(0,-20), R(-10,0) .

Q: . Which three points are on the line L: r = (2,-5)+s(2,1), s € R? a. Q(2,1), 0(6,-3), R(2,-5) b.…

A: Explanation of the answer is as follows

Q: → → If m= (2. 1. 5) and n = (3. 0. x) are perpendicular, then the value of x is

A: Solve the following

Q: Select the most precise name for the quadrilateral with points R(-7,-6) S(-5,0) T(-2,0) U(0,-6)

A:

Q: Q6: Determine whether AB is parallel or perpendicular to CD whe a) A(0,-1): B(1,1) ; C(1,5) D-1,1)…

A: to check the lines are parallel or perpendicular

Q: Suppose 7 = (5, -5,2). Then (-10, 10,-4) is ✓ (2,-1,-1) is (7.5, -7.5, 3) is parallel perpendicular…

A: If the dot product u•v=0 , then u is perpendicular to v.If the cross product u×v =0 , then u is…

Q: Which line is the same as [x, y] = [1, -8]++[4, −3]? a) [x, y]=[2, 4]++[4, -3] b) [x, y]= [1,…

A:

Q: 7. What are the x-intercepts? A. -4, -2,1, and 3 В. -3, -1,2, and 4 С. -4,-1,2, and 3 D. -3, -2,…

A:

Q: 38. Given two lines, determine if the lines intersect, if the lines are parallel, or if they are…

A:

Q: the distance between A and B •the distance between A and C

A: