Are these points collinear? a) A(-1, - 2), B(3, 2), and C(5, 5) b) D(a, c-d), E(b, c), and F(2b - - a, c + d)

Q: 5. What is the angle between the planes 4x - 5z 11 and 8x- 10z 13? (a) 0 (c) (b) (d) n

A: Given: 4x-5z=11 8x-10z=13

Q: The angle between two planes is the smallest angle 0 between the planes 6x + 2y – 4z = 0 and - 7x +…

A: We will solve the problem

Q: What are the endpoints of the latus rectum of (x + 1) = -8 (y + 4) ? O (-1 ± 4, –6) O (-6 ±4, –1) O…

A: We will find the end points of latus rectum as shown below

Q: Use drawings as needed to answer the given question

A: (a) In Euclidean geometry, if two or more than two points lie on a line close to or far from each…

Q: Describe a method for determining whether four points P, Q , R , and S lie in the same plane?

A: We will show a method for determining whether four points P,Q,R and S lie in the same plane.

Q: The distance from (9,-6, 7) to yZ-plane is A9 O B. 6 OC. 166 OD. 85 O E.7

A: Distance of a point (a,b,c) from yz plane is as In yz plane x coordinate is zero and y= b and z= c.…

Q: 4. Which of the following figures is not a rhombus?

A:

Q: 2. Let D be the parallelogram in R? whose vertices are (0,0), (1, 1), (2, –1) and (3,0). By substi-…

A: We have to the value of integral.

Q: What is the midpoint of the segment AB given point A(-6,1) and point B(8,7)"

A: The midpoint of the line segment joining two points lies on the line segment. The coordinates of the…

Q: ais the midpoint of AB. Q has coordinates of (-2, 4) and A has coordinates of (4,6). What are the…

A: Solution of the problem as follows

Q: Find the value of x and y in the rhombus. yo 3x° 2x° y = IL ||

A:

Q: If A is (- 8, 3) and B is (- 4, – 1), then the midpoint of AB is (_?, ?_).

A: We know that, mid point of a line segment joining the points x1,y1 and x2,y2 is given as Mid…

Q: A power cable is to be fitted under a road and can be represented on 3D Cartesian axes as below,…

A:

Q: What is the sketch the phrase "three collinear points and a fourth point not on the line of the…

A: Introduction: Dual of any phrase can be find by replacing the conjunction connective with…

Q: Sketch the translation of the triangle with the rule (x, y) → (x+5, y+1). T 5- -10 -5 10 -5- 5

A: The coordinates of vertices of the blue triangle (1st quadrant) are A1, 1, B3, 1 and C3, 5. Now, Use…

Q: The midpoint of AB is M(0, –4). If the coordinates of A are (2, –1), what are the coordinates of B?…

A: Given- The midpoint of ABis M0,-4. To Find- The coordinate of point B, if the coodinate of the point…

Q: y U(a, b) V(?, ?) h =b units T(0, 0) a units W(c, 0)

A: HL congruence postulate: According to this congruence postulate, two right triangles are congruent…

Q: (c) Consider the parallelepiped with sides: u=(5,-2,1), v=(3, 2, 4), and w=(-6,1,1). V

A: Angle between two vector V and W found using cosine function

Q: circle passing through (a, b) and cuts orthogonally to circle x? + y? = p², is

A: Introduction :

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: Find the angle between in the two planes a = (1,2,3)and b =(4,-5,6)

A:

Q: Find the condition for the points (a,0) ,(h,k),(0,b) when ab is not equal to 0 to be collinear

A:

Q: Find the angles between the planes 2 x + 2 y + 2 z = 3 and 2 x – 2 y-z 5

A:

Q: Find the angle between in the two planes a = (1,2,3) and b =(4,-5,6)

A: Let's find angle between two plane.

Q: 2. B C. a. Which pair(s) of planes intersect? b. Which planes intersect in RS ?

A: 2 a.  The pairs A,C and B,C are the intersecting planes. The planes A and C intersect as; The planes…

Q: What are the coordinates of the midpoint of segment GH with endpoints G(-2, 5) and H(4, 1)?  a (-6,…

A: midpoint of segment GH with endpoints G(-2, 5) and H(4, 1)

Q: Reflect the triangle over the line y=x with the rule (x,y)→(y,x) -8- 4- -8 -4 4 8 -4- --8

A:

Q: 1. Rhombus ABCD with vertices A(-3, -2), B(0, 3) C(5, 6), and D(2, 1): (x, y) → (x + 2, y-6) A'L B'…

A: The given coordinates of rhombus is  A-3,-2, B0,3, C5,6, D2,1 The transformation is x,y→x+2,y-6 So…

Q: A) Find the angles between the planes 2 x + 2 y + 2 z = 3 and 2 x - 2 y- z = 5

A:

Q: 5. Żyan located a point at (-3, 0). Which axis is the point touching?

A:

Q: r = (6,-3,2)+1(2,0,1) + u(1,1,–3)

A: Given point is (0,-1,-8) and the plane is r→=6,-3,2+t2,0,1+u1,1-3

Q: Find the angle between the planes x+ y=1 and 2x+у-2z32?

A:

Q: H Y D T P A S

A:

Q: In ARST, SV bisects y ZRST. Find the coordinates of point T in terms of a. S (a, a) 2a T?, ?) V (2,…

A: Given that, Let ∠TSV=θ and ∠VSR=θ(∵SV is angle bisector)

Q: Which point(s) lie in the plane 2x + 3y + 4z = 24? a) (0, 0, 6) c) (4, 4, 1) b) (0, 3, 4) d) (-2, 6,…

A: Given: 2x+3y+4z=24 For finding which point lie on given equation of plane, we put each point on…

Q: Can a rhombus be a rectangle? When can a rhombus be a rectangle?

A: A rhombus is defined as a parallelogram with four equal sides.  A rectangle has two pairs of…

Q: The plane containing Q, S, A, U appears to be parallelto the plane containing which points?a. Q, E,…

A: The Parallel Plane: The Parallel planes are two planes that do not intersect. Since, this is cuboid.…

Q: Find the distance between the point (-2, 4) and the point of origin. * O 4 O 2v5 O 5v2 O 5

A:

Q: Prove that the points A (2,15), B(1,6) and C(6,-9) are collinear.

A: To prove points are collinear find distances between every pair of two points and if any distance is…

Q: Prove that the shape ABCD is a rhombus. With A(1, 4), B(3, 0), C(1. -4) and D(-1,0).

A:

Q: 4. What are the coordinates of point A? (0.0,5) (0,6 (0,6,0 Flgure 1 O (2, 0, 5)

A:

Q: 5. Rhombus CDEF with vertices C(-5, 5). D(-1, 7), E(-3, 3). and F(-7, 1): 270° counterclockwise C:…

A: Since you have posted multiple questions so according to our guidelines we will solve only first…

Q: 2. The midpoint of AB is M(4,2). If the coordinates of A are (6,-4), what are the coordinates of B?…

A: Since, we have been given that the midpoint of AB is M(4,2) and coordinates of A(6,-4). Then Our Aim…

Q: TQRS is a rhombus, what is the value of x?

A: rhombus bisects each other at 90 degree angle.

Q: 6. If the coordinates of A are (-3, 2) and the coordinates of the midpoint of AB are (-1,5), what…

A: Given coordinates of A=(-3,2) and the midpoint of AB ¯ = (-1,5) find the coordinates of B

Q: *15. What is the name for the point on the coordinate plane that has the (Inv. 7) coordinates (0,…

A: The given point is: (0, 0)

Q: Determine whether the points P(1, −2, 3), Q(2, 1, 0), and R(4, 7, −6)                    are…

A: Given, The points P(1, −2, 3), Q(2, 1, 0), and R(4, 7, −6).

Q: The midpoint of AB is at (0, 0). If A = (-5, 4), find B. B is: (

A: Given :A=-5, 4Mid Point of AB=0,0

Q: 3) Name three collinear points. b. A, B, and C d. A, D, and C a E, D, and A c. E, F, and C D

A: