b.) Determine the os culating plane of R.

Q: 12 3. 5. 13 18 -1 For what value of hs in the plane spanned by j and i? Preview Answers Submit…

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Q: The segment addition postulate states that ifA, B, and C are collinear with B between A and C, then…

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Q: Show that the volume V of a parallelepiped having u, v, and w as adjacent edges is V = ∣u ∙ (v ×…

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Q: If UV bisects XY at point W, which statements must be true? Select all the true statements. (A UW E…

A: Given that U̅̅V̅̅  bisects X̅̅Y̅̅at point W U̅̅V̅̅ bisects X̅̅Y̅̅ means U̅̅V̅̅ divide line XY in two…

Q: Let R be the region in the plane enclose

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Q: Let ABCD be a trapezoid with bases BC and AD. Let 0 = AB n DC be the point at which the lines…

A: Given that ABCD is a trapezoid with bases BC and AD, so BC and AD are parallel.…

Q: Sketch the region in the z-plane represented by the following set of points: |z+i|+|z-i|≤3

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Q: Considering only the 4-point planes that are drawn in the figure below, which point does NOT share a…

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Q: (b) Let the distance between two adjacent planes parallel to the plane (hkf) in the direct lattice…

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Q: Compute the distance d from y to the plane in R' spanned by u1 and uz.

A: We have to find the distance d from y to the plane in R^3.

Q: If point N is the centroid of AHIJ, IM = 18, KN = 4, and HL = 15, find JN. %3D %3D %3D K /N/

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Q: Draw an obtuse triangle and, by construction, find the centroid of the triangle. (HINT: Begin by…

A: To get an obtuse triangle, draw a triangle with one of its interior angle should be greater than…

Q: Find the angles between the planes in Exercises 47 and 48. 47. x + y = 1, 2x + y - 2z = 2 48. 5x + y…

A: Hey, since there are multiple questions posted, we will answer the first question. If you want any…

Q: Exercise 2 Given: BD bisects ZADC ZA = ZC Prove: AB = CB B.

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Q: Every triangle has a balancing point, called the centroid. O True O False

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Q: find the angle between the indicated planes in Exercises 44 and 45.44. 7x − 3y + 5z = 6 and 2x + 3y…

A: The given planes are44. 7x-3y+5z=6 and 2x+3y-z=145. -x+7y-2z=5 and 3x+5y-4z=2

Q: In RST, U is the Centroid. If SQ=6, find SU and UQ W R

A: Given query is to find SQ and UQ.

Q: Determine which set in complex plane defined by following conditions are convex (a) Im(z) > 6 (b) 1<…

A: NOTE: According to guideline answer of first question can be given, for other please ask in a…

Q: The dimension of the set W = {(2t – s, s, t) : s, t e R} of R is equal to: %3D

A: The dimension of the set W={(2t-s,s,t) : s,t ∈ R} of R3 x=2t-s y=s z=t (t,s) ∈ R   This can be…

Q: Use the figure to answer the following questions by YES or NO.  1. Are A, D, and E collinear? 2.…

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Q: Find the eguatien of the tangett line and nemat plane to the cune; Y. cest Ces(zt)i + st sinCet) j +…

A: Given r=cost cos2ti+cost sin2tj+sintk

Q: Given that all three points (6, 10, 10), (11, 14, 13), and (k, 8, 6) lie on a plane that contains…

A: If three points lie on the same plane then determinate of matrix made by that points is zero.…

Q: · Let A the area of the triangle ABC is given by ("1, ул), В %3D (x2, Y2), and C = (x3, y3) be…

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Q: Show that the rank of the linear mapping 7.32. Bar Y3= 301 +302 y = 201 +20203, 31-02-203 1 V2 is…

A: To prove that the rank of the matrix (representing the given linear transformation ) is 2 and to…

Q: Let r() = (In1, 1, 5). Find the equation of the osculating plane corresponding to1 = 1.

A: Find the point at t=1 the vector r(t)=lnt,t,t22 corresponds. lnt,t,t22=ln1,1,122=0,1,12=0,1,0.5…

Q: 4) Name a point that is coplanar with A, B, and C. b. E D a. D d. N C. F 3)

A: the given figure we have to name a point that is coplanar with A, B and C.

Q: A. Use the figure on the right to name each of the following: 1. three collinear points 2. three…

A: A) 1) Collinear points are the points which are on the same line. Hence 3 collinear points are A , P…

Q: What is the projection of r(t) = ti + t4j + etk onto the xz-plane?

A: Given: r(t)= ti+t4j+etk

Q: Show there is no plane perpendicular to n=i+jn=i+j that passes through points P(1,2,3)P(1,2,3) and…

A: This is the rough image Point P(1,2,3) and Q(2,3,4) are the points on the plane…

Q: dA where R is the quadrilateral with the 5: Evaluate RI+y vertices (1,0), (4,0), (0,1), (0,4) using…

A: The solution are next step

Q: 3 Let a1 0 , and b %3D %3D Then Span {a-, az} is a plane through the origin in R. Is b in that…

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Q: 7. If a =i+ 3j – k, b= 2i+ 4j – 2k and c = -i+2j+ 4k, find a number A such that d= a+b+ Ac is…

A: Given a=i+3j-k b=2i+4j-2k c= -i+2j+4k Find the  λ such that d= a+b+λc is parallel to the yz plane…

Q: Sketch the region in the z-plane repres ented by the following set of points: (i) Iz +il+ |z - il 3.…

A: .

Q: Consider α, β, and r nonzero real constants. A possible representation graph for the plane of…

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Q: In space coordinates, the xy plane consists of all the points of the form O (0, y, z) O (X, y, z) O…

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Q: If T is the centroid of MNP, TN=16, MQ=23, and RP=18, find each misiing measure

A: Here T is the centroid of ∆MNPTN = 16,  MQ = 23 and RP =18We find missing measure

Q: A cube of cheese from Italy with edge measure of 1 was cut by Mickey using a plane in a manner that…

A: Let us assume the the cordinates OA= OB= OC= 1

Q: Sketch the region in the z-plane represented by the following set of points: (i) Iz + il + |z – il <…

A: Given that: z+i+z-i≤3

Q: Find a plane containing t and orthogonal to the pla

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Q: Which of the following represents a plane surfac whose x-, y-, and z-intercepts are a, b, and c…

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Q: A research facility is located at the centroid of the triangle made by highways connecting three…

A: Given: Distance between town P and Q is 6 mi. Distance of median from R meeting PQ at S say,…

Q: The volume of an isometric drawing can be found by counting the number of blocks in the drawing. O…

A: Given: isometric drawing in geometry

Q: tor that is norma to the Plane determined by the three Points i+ 2j +k, si-j+ k , 3i + 2; - 7k.

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Q: 6. If UV bisects XY at point W, which statements must be true? Select all the true statements. (A UW…

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Q: Find the envelope of the plane 1, C + u + a + и b + u mere u is the parameter.

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Q: If S is an arbitrary closed surface covering a V and A = axi + byj + czk, then www prove that f. A.n…

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Q: Given: G is the centroid of AAEC, EBL AC, AB= 6, AF = 5, EG = 5, and AE = CE. EB B

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Q: Draw AABC and label the midpoints of AB, AC, and BC as X, Y, and Z. respectively. Let P be the…

A: We shall draw the triangle, along with all other lines in order to visualise the problem better…

Q: For what values of aare u and v orthogonal?

A: Consider the given vectors  u=11-2  and  v=a-12 Write the vectors in row form u=1,1,-2  and…

Q: find the functon r that satisfies the following conditions rt)=;rli) = į rli)= 67,6,3> %3D

A: Given r'(t)=&lt;3t², 6t⁵, 4t³&gt; which satisfies  r(1)=&lt;7, 6, 3&gt;

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.