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: Can two horizontal planes intersect?

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

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: Determine the line of intersection between the following planes 12. 5x+2y-7= 9 and -2x+8y +9= = 3.

A: Given: The planes are 5x+2y-7z=9 and -2x+8y+9z=3 To find the line of intersection of the given…

Q: are rhombuses special parallelograms?

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

Q: Find the intercepts of the plane 4x+y+10z=40 . Write your answers as points (a,b,c) where a,b and c…

A: Given equation of the plane is 4x+y+10z=40. We have to find different intercepts.

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

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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: In triangular space it is sufficient to know two different points to find the line passing through…

A: Given statement is 'True'

Q: The length of the line segment joining the two points of intersection is 3 – x = y = 7+1 With the…

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Q: ind the line of intersection of the planes x+y+z=1 and y+z=0

A: The given planes are x+y+z=1 and y+z=0. It is required to find the equation of line of intersection.…

Q: (a) Find the area of the parallelogram with edges v(3,2) and w= = (1, 4).

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Q: How can we recognize if the two planes were parallel or not

A: Consider the vector equation of the two given planes as, r→·n1→=d1r→·n2→=d2 Here, n1→ and n2→ are…