11 Give the coordinates of the A" Quadrilateral ABCD with vertices A(0,6), B(-3,-6), C(-9,-6), and D(-12, -3): a) dilation with scale factor of 1/3 centered at the origin 0/1 b) translation along the vector (-5,-1) 12 Give the coordinates of the B" 0/1 13 Give the coordinates of the C" ?/1 **** 14 Give the coordinates of the D" ?/1

Q: 3. Find the Scalar eguation of the plane containing the line rt) =<!,2,-37+ -3,2, 17 and the point…

A: Given problem:- Find the scalar equation plane containing the line  r (t)= &lt;1,2,-3 &gt; + t &lt;…

Q: 2. The plane containing the point (-8, 3, 7) and parallel to the plane given by 4x+8y-2z=45.

A:

Q: 9) Find an equation of the plane whose points are equidistance from the point (2,-1,1) to the point…

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Q: b) Show that the points A = (1, 2, 2), B = (3,4, 5) and C = (-1,0, –1) lie on a plane through the…

A:

Q: Let A be the point with coordinates (6, 3, 3) and let B be the point with coordinates (5, 3, 4). Let…

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Q: 6. Determine the distance from the point (2, -1, 5) to the plane 3x - 3y + 5z = 8.

A:

Q: 3) Find an equation of the plane whose points are equidistance from the point (2, - 1,1) to the…

A: As per bartleby guideline for more than one question asked only first is to be answered please…

Q: 4. Rhombus WXYZ with vertices W(1, 5), X(6, 3), Y(1, 1), and Z(-4, 3): x-axis

A: Given vertices are: W (1,5)X (6,3)Y (1,1)Z (-4, 3)

Q: 16- Find the equation of the plane that contains the line = 2+ = 5-z, and the point P(0,5,2).

A:

Q: Let A be the point with coordinates (4, 4, 2) and let B be the point with coordinates (3, 4, 3). Let…

A:

Q: A perpendicular line is drawn from point P(1,2,1) to the plane -2x+ 4z 8 and meets the plane at…

A:

Q: Find the equation of the plane parallel to the line r = 2i + t(−4i + 3j + 8k) and containing the…

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Q: 1. Find the area of the triangle in the R2 plane whose vertices are given by (0,0), (–1,4) and (7,…

A: 1. The Area of triangle with vertices (x1,y1),(x2,y2),(X3,y3) is given by formula : ∆…

Q: Vectors are drawn from the center of a regular n-sided polygon in the plane to the vertices of the…

A: Let us consider an incomplete regular polygon of n sides and the same polygon after rotation. We…

Q: Find a plane through the points P1(1, 2, 3), P2(3, 2, 1) and perpendicular to the plane 4x - y + 2z…

A: The given points and the plane are,

Q: Answer the question in the picture.

A: Concept:

Q: 4. Calculate the perpendicular distance between the plane with axis intercepts P(4, 0, 0), Q(0, 3,…

A: Answer is: 0.53846153846153846 Solution is given below:

Q: Find the general form of the equation of the plane with the given characteristics. Passes through…

A:

Q: 3. If a plane contains two distinct points P1 and P2 then show that it contains every point on the…

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Q: answer all for an upvote

A:

Q: 1. Prove using vectors that the points (-1, 3, 3), (0, 1, 2), (2, 2, 2), and (3, 0, 1) are the…

A: Note: I have solved this above proof by two vector method but is not correct point for…

Q: A computer software exists so that the cursor of the program and ends at the origin of the plane. A…

A: To determine the distance traveled by the cursor.

Q: Prove that quadrilateral GHIJ with the vertices G(-2,2), H(3,4), 1(8,2), and J(3,0) is a rhombus. YT…

A: solution: the objective is to determine whether the given vertices forms a rhombus

Q: A triangle has vertices A(1,3), B(7,0) and C(4,6). Determine the equation of Euler's line? Hint:…

A: Sketch the triangle:

Q: Which of the points A(-4, 0, -1). B(3, 1, -1), and C(2, 4, 6) is closest to the yz-plane? Which…

A:

Q: Points M,N,P, and Q connecting together produces a rhombus MNPQ with diagonals MP and QN of the…

A: A rhombus is a type of quadrilateral whose four sides are of the same length. The angles of a…

Q: 5) Find the distance from D to the plane containing A, B, and C NOTE: Enter the exact answer.…

A:

Q: Find the general quation of plane containing the point P(-1,3,3), and perpendicular to the line…

A:

Q: 5) Find the distances by drawing the figures and right triangle used to calculate a. Between 1₁ =…

A: Given: Let's determine the distance for the following, a) medium of l1=2+2t,-1+t,-3t and…

Q: Q1-)A-) Find the distance from the point (0,1,1) to the line of intersection of the planes : x + 2y…

A: Given: A) Point (0, 1, 1) and the planes x + 2y + z = 1, x - y + 2z = -8. B) Vertices of triangle…

Q: 14. Determine an equation of a plane parallel to a coordinate plane that contains the given pair of…

A:

Q: Find the equation of the plane that passes through (1, 2, 3) and is parallel to the xz plane. Show a…

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Q: 5. Find a plane through the points P(1,2, 3), P2(3, 2, 1) and perpendicu- lar to the plane 4x – y+…

A:

Q: Pifor fig s hown, find the plane using 1gebric methoode C4, x

A: P4, 0, 0  Q0, 5, 0R0, 0, 3

Q: 16- Find the equation of the plane that contains the line = 5 - z, and the %3D point P( 0,5,2).

A:

Q: 1. Find the plane through the points A(1,2,-), B(4,2,-2) and 4' C(2,3,4)?

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Q: Find the coordinates of the vertices of the polygon after the indicated translation to a new…

A:

Q: 2. Obtain an equation for a plane a that includes straight line(2--5) and 1: point(-2,1,1)

A:

Q: Find distance from point A(1,2,1) to the plane containing the three points B(2,2,4), C(−1, −2, −3) &…

A: Introduction: Since you have asked multiple questions, we will solve the first question for you. If…

Q: 7. Rhombus FGHI with vertices F(6, -1). G(11, -3). H(13, -8). and (8. -6): scale factor = 2,…

A: Dilations involve multiplications. Scale factor 2 means every coordinate of original figure has to…

Q: Find the point at which the line (0, –3, 5) + t(4, –1,2) intersects the plane 4x + 4y – 4z = 0.

A:

Q: between the point and the plane. 43. (1,−2, 3); 2x − 2y + z = 4

A: Given: The point is 1,-2, 3 and the equation of the plane is 2x-2y+z=4 To find the distance between…

Q: 3 FIND TiHE GENERAL FORM (SIMPLIFIED AS WELC) OF THE PLANE (1,0,5), (2,10, 6) (-),2,3) CONTAINING

A:

Q: -) Find the distance from the point (4, 22, 6) down to the ry-plane. ) Find the distance from the…

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Q: Find the distance from the point to the plane. (6, 0, —6), т — у %3D 4

A:

Q: The three vertices of at riangle are located at A(6,-1,2), B(-2,3,-4), and C(-3,1,5). Find: (a) RAB…

A: step:-1 Given vertices of a triangle are A (6, -1, 2), B(-2, 3, -4), C(-3, 1, 5) Part (a):- RA=6…

Q: 4.) a. Find the point of intersection of the line through (1,-5,1) and (5,-12,6), and the plane…

A:

Q: ■ Find distance from point A(1,2,1) to the plane containing the three points B(2,2,4), C(-1, -2, -3)…

A: Distance of a point from plane

Q: 9) Find an equation of the plane whose points are equidistance from the point (2, -1,1) to the point…

A: find the midpoint  ...............point on the plane

Q: The plane that contain point P (0,3,2) and line L, where the line passes through points A(2,1,4) and…

A: Given point on the plane is, P0,3,2 And the line passes through the point is, A2,1,4 and B3,7,6 The…