Are these points collinear? а) А(-2, 5), В(0, 2), and C(4, — 4) b) D(-1, — 1), Е(2, — 2), and F(5, —5)

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: Calculate gij for the distance between (x;) = (1, 1, – 1) and (yi) = (0,1,2) in %3D T-2 1] barred…

A: A point in three dimensional coordinate system is given by xi=1,1,-1yi=0,1,2 Now the point in barred…

Q: 3. a) If ā = (2,3,7) and b = (-4, y,-14), for what values of y are äand b perpendicular? For what…

A: Note to student : Hello. Thanks for posting your queries. Let us inform you that your question has 2…

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: give a geometric description of the set of points inspace whose coordinates satisfy the given pairs…

A:

Q: Show that three points P , Q, R are collinear (lie on a line)if and only if −→P Q × −→P R = 0.

A: Given: Show that three points P, Q, and R are collinear (lie on a line) if and only if PQ→×PR→=0

Q: 4. Prove that the midpoint of the line segment connect- ing the points (x 1, X 2, - . . , Xp) and…

A: The midpoint of a segment can be considered to be the average…

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: Find the midpoint of CD. M = (, X1+X2 _Yi+Y2 2 %3D C= (10,-1) and D = (-6,3) ([ ? ],[ ])

A: We can find the mid point of CD as below

Q: The distance from (4,-5, 10) to yZ-plane is O A.4 O B. 5 C. /141 OD.10 OE. 125

A: Solution is given below:

Q: 2. Trapezoid QRST with vertices Q(3, 1), R(5, 2), S(10, 0), and T(4,-3); 270° counterclockwise about…

A:

Q: ind a plane containing the point Gl,2,-3) and the line of intersection of the pladnes -X+3y -Z E -7…

A:

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

A: When rotating a point 270 degrees counter clockwise  about origin, point x,y becomes y,-x. This…

Q: M is the midpoint of PR. If P(5,6) and M(-1,3), then find the coordinates of R. O (-3,0) O (7,0) O…

A: Find the mid point

Q: Describe with a sketch the sets of points 1x, y, z2 satisfying the following equations. y - z = 0

A: First sketch the graph of the function y-z=0 as shown below.

Q: If the plane F contains the points P(1, 0, 0), Q(3, 2, 0), R(0, 2, 1), L O 1 6 -6 O -2

A:

Q: Find the angles between the planes 5x + y - z = 10, x - 2y + 3z = -1

A: Solution -  We have equation of two planes -  Plane 1 -…

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: (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: (b) Let A(4,4, 7) and B(11,8, 11) be two points in 3D. Determine the coordinates of the point Q…

A: Introduction: When a vector is a non-zero scalar multiple of another vector, the two vectors are…

Q: 2. Do the three planes x + 2y + z = 4, y - z = 1, x+ 3y= 0 have at least one commom point of…

A:

Q: ARST is reflected across a line so that T'has coordinates (1, 3). What are the Coordinates of S'? R…

A: Given: R=-4,4S=0,-2T=-3,-1

Q: The planes x - 2y + 4z - 3 = 0 and 2x - y - z + 3 = 0 are perpendicular. Select one: True False

A:

Q: Find the value of p for which the point (-1, 3), (2, p) and (5, –1) are collinear. 4 3 2. O O

A:

Q: Aa, Bb, and Cc are medians of triangle ABC with centroid at G , if aG = x, what is AG?  a. x b. 2x…

A:

Q: 2. Use analytic geometry to verify that quadrilateral JKLM is a parallelogran 1C). YA K(-1,1) 2 -2 0…

A:

Q: 2. Which of the following points lie on the plane 11x-2y-4z + 2 = 0 A) (4, 2, 6) B) (11,2,-4) C) (4,…

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: Evaluate ||x'y dA if D is the triangle in the xy-plane with vertices at (0,0), (5,2), and (0,2).

A:

Q: Find the value of y such that the points are collinear. (1, -2), (-5, y), (-2, –5) y = %D

A:

Q: 3. Determine the angle between the planes: x - z+7=0 2x +y-z+8 = 0

A:

Q: 2. Do the three planes X + 2y + z = 4, y - z = 1, x+ 3y = 0 have at least one commom point of…

A: The equation of the plane is given by the formula ax+by+cz+d=0. The system of planes can be solved…

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: Fud the Line pussing through the posnt (!,-l,o) and purrllel to the Eme of intersection of planes (X…

A:

Q: What is the composition of the translations (T-3, 45° Ts, -72) (X, y) as one translation? (T-3, 4•…

A:

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: Using the fact that the points P, Q, and R are collinear (lie on a line) if and only if PQ × PR = 0,…

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: [o 2B Determine the value of a, ß,y when a B -y is orthogonal. a -B

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: The midpoint of AB is M (0, –4). If the coordinates of A are (-8, –7), what are the coordinates of…

A: To find the coordinate of point B. If the coordinate of point A and midpoint of line AB is given.

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: The midpoint of \overline{\text{AB}}AB is M(-5, -2)M(−5,−2). If the coordinates of AA are (-3,…

A: Topic- 2D Geometry

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: Which of the following would give the coordinates of the midpoint of P(-6, 13) and Q(9, 6)? O…

A:

Q: Which equation represents the perpendicular bisector of AB whose endpoints are A(3,6) and B(- 5,2)?…

A: NOTE: Refresh your page if you can't see any equations. . given points are the slope of the line…

Q: Prove that three points (x1, yl), (x2, y2) and (x3, y3) are collinear ( on the same straight line)…

A:

Q: Consider AB in the coordinate plane below. 10 7 5 4 3. 2 A B 6 7 89 10 10-9 -8 -7 -6 -5 -4 -3 -2 -1…

A: i am going to solve the given problem by using some simple geometry to get the required result.