1. Given the plane DGF in the diagram, which points are collinear? O D, E, and F H. G. and D G

Q: 1. Given the points P(5, 3, - 4) and Q(7 - 1, - 3), find the following: a. the vector PO b. PQl

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Q: Use the figure at the right. Indicate whether each statement is true or false. a. Points A, B, and C…

A: This is a problem related to geometry. Please follow the procedure given below.  As per the rule of…

Q: The distance between the line P(t) = (-4,-3,-5) +t(1,0, 2) %3D and the line Q(t) = (-3, -4,0) +t (2,…

A: The vector equation of a line passing through a point with position vector a1→ and parallel to a…

Q: 4. Evaluate . F.ds , where C is the triangle with vertices (1,0,0), (0,2,0), and (0,0,3) oriented by…

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Q: Give another name for plane W

A: Plane :— Plane is a 2 - Dimensional space which is named by three Points.

Q: 8. Let P(1,2,3), Q(1,-1,-2), and R(0,0,0) be the three points in R³ a. Find an equation of the plane…

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Q: Name two planes that intersect in FG.

A: We have to name the plane which intersects in FG,

Q: Exercise 1.5. Consider coordinates in the plane; i.e., pairs (a, b) where a,b e R. Recall that two…

A: Given: a,b To find: Program

Q: - Using the parallelogram in Problem 44 as a base, cre- ate a parallelopiped with side P, P; where…

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Q: 3. The point P=(-2, -3, 4) in R a. Draw the rectangular prism using the given point on the grid…

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Q: What is the real number a that makes the line 2 -1 y-12 z-7 a -2 3 parallel to the plane z -y - 2z=…

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Q: If the position vectors of the points A, B, C, D are a = i +j+k, b = 2i+ 3j, c = 3i+ 5j – 2k, d= k –…

A: The position vectors of points A, B, C and D are a=i+j+k,  b=2i+3j,  c=3i+5j-2k  &  d=k-j. Now…

Q: 1. The vertices of a triangle are located at A(4,1, –3), B(-2,5,4) and C(0, 1, 6). Using vector…

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Q: Given a point P := (30, 24, 9) and a plane 2x + 2y + z =-12, let D be the distance from P to this…

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Q: (The question is in the screenshot)

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Q: In the case below, there are three planes. Imagine they are three pieces of paper extending…

A: We are required to find the number of intersection points of all the three planes.

Q: Зу — 2z 3D 6

A: Use a graphing utility to plot the plane, 3y-2z=6 .

Q: 3. A player P stands 10 metres directly in front of a soccer goal O ABC, as shown below. The corners…

A: a)Co-ordinates of GG0+7.52,0+02,0+02=G154,0,0Co-ordinates of P∵P lies on the  xy planeso…

Q: Consider the following diagram. The point O represents the origin of the zy-plane. The shape BCDE…

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Q: C1.1) Let the target box be defined as T₁: (min₁, min2) = (1, 0), (max₁, max2) = (2, 3). What are…

A: (C1.1) Given largest box is defined as: T1:min1,min2=1,0, max1,max2=2,3. We need to find the…