There are two planes: x+4y-3z+12=0 and 2x+8y-6z+4=0 a) Explain how I know these planes are parallel and distanced? b) How far apart are these lines?

Q: 1. Find the purametric euuatlous of the line that contains the point C,-3,5) and is Perpendicular to…

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Q: 04: Does the triangle in 3-space with vertices (-1, 2, 3), (2, -2, 0), and (3, 1,-4) have an obtuse…

A: We have to check

Q: Can two horizontal planes intersect?

A: Explanation: If two planes are horizontal, it means both are parallel to the x-axis.

Q: A) Find the area of the triangle with vertices A (1, -1, -1), B (1, 1, -2) and C (0, -2, -3). B)…

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

Q: 20) Find the distance between these (2) sets of points; (2, -5) & (-3, -10).

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Q: B- Vertices of a triangle are, A(-1, 0, 1), B(3, -2, 0) and C(4, 1, -2). Find 1- Area of Triangle 2-…

A: A detailed solution is given below.

Q: Use the applet to translate quadrilateral ABCD 2 units left to create quadrilateral A'B'C'D', then…

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Q: The planes x - 2y + 32 - 3 =0 and 3x + y - z + 5 =0 are perpendicular. Select one: True False

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Q: Explain how to tell when two planes are perpendicular.

A: Consider two planes. A1x+B1y+C1z=D1 and A2x+B2y+C2z=D2. Here A1,A2,B1,B2,C1 and C2 are direction…

Q: b) I = (x-8)² +2=y+3

A: Given that:To find: The value of x.Formula used:

Q: Find the distance between the planes 2x + 5y + 4z = 7 and 2x + 5y + 4z = = Question Help: Video 10.

A: We know that the distance between two parallel planes:ax+by+cz+d1=0andax+by+cz+d2=0 is given…

Q: are rhombuses special parallelograms?

A: Our Aim is to tell whether a rhombus is a special case of paralleogramor not.

Q: Answer the questions in detalied steps and show work. (7 and 8)

A: Step 1: Step 2:   Take x-axis and y-axis                 they intersect at (0,0) in two-space and…

Q: Use an algebraic proof to show that the points A(-3, 1), B(0, 4), C(0, 2), and D(-3, -1) form a…

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Q: 9) Use the coordinate plane to the right if needed to find the length of AB if A(-3, -2) and B(4,…

A: We will use the Pythagoras theorem to find the required length

Q: A Find the Distance from the point (2,-6) to the line 3x+ 4y t6=0 B Find the distance between the…

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Q: Are AB and PQ parallel, and if so, do they paint in the same dırecton? A= (4,4) B= (-S, 2) P= (0,-1)…

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Q: iven the points A(2,6,0) and B(3,5,6) determine the point of intersection of this line to x-z plane.

A: Given points are A(2,6,0) and B(3,5,6) The line joining points (x1, y1, z1) and (x2, y2, z2) have…

Q: 7x + 3y + 4z = 5, and 21x + 9y +12z = 13

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Q: paralle M = be on planes Q and R respectively. A clear writing is expected.) (a) Why are the lines L…

A: Given, two pararllel planes Q and R. Let the lines                   L=1-2t, 4+t, 3 and M=5t, 1-t,…

Q: Find the distance between the given planes: 5x - 3y + z = 2 & 5x- 3y + z = -3 | Upload Choose a File

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Q: ans ) Find the lengthaf the Projection of the line jeining (-1,2,) ane -19 2) on the Plane…

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

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Q: 2) The distance between two points with coordinates (x₁, y₁) and (x2, y2) is equal to √(x₂-x₂)² +…

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Q: 24. (6,5) (20,-10) Parallel:

A: For parallel line slope are same so m1=m2 For perpendicular line multiplication of two line's slope…

Q: Do three points determine a plane?

A: We know by following ways plane can be determined: 1. Three non collinear points determine the…

Q: Find and describe the intersection of the following line and plane: T:2x+3y-4z =-7 and r = (4,2,5)…

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Q: and the equation of the bised of the angles between the plan 22- -J+²2+ ³ 32 - 2y +63 + 8 -

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