What information is needed to prove that MN_ is a perpendicular bisector to AB_?

Q: A set W is defined as consisting of all the planes in R^3 that are parallel to the plane x+2y-3z=1.…

A: A set W is defined as consisting of all the planes in R3 that are parallel to the plane x+2y-3z=1.…

Q: O Let ref(Al=Bmrz0 (2 20 X20 where dij = 10 for all i,5 - which is a True state ment? a) (A,Aay-,…

A: If a matrix is of reduced row-echelon form then it is an identity matrix with linearly independent…

Q: Q.2:0Find the inverse the matrin A = -1 8 to (I A""). by converting Cii) P leas (A! 2) Comment on…

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Q: Q1A)Find volume of parallelepiped which sides the vectors A = i +j+k B = 2i3j+k, and C = 3i-j- 4k.…

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Q: findthe parametríc equatlons for the line through the paint of in tersecti of the lines 4=X=2+ 36 14…

A: first we find intersection point of given line

Q: Is A = (2 ) diagomlizable? 4

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Q: O Ic ABCD is a diagonals thombus whese Cut at the origin O , then prove that OÃ't OB tO toD=0

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Q: prove by vector method that diagonals of rectangle are equal in length and bisect each oth

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Q: Let y= [ -3 -2 3] and u= [2 1 -1]   A) Find the orthogonal projection of y onto u.   B) Compute the…

A: Given vectors are  .A)

Q: Use Clairaut's theorem to draw the geodesics of the catenoid

A: Solution :-

Q: Use the definition of the cross product to prove that the cross product of two parallel vectors is…

A: The cross product of two parallel vectors is zero. This can be proved by two definitions of cross…

Q: 2. Show that z^2 is one-to-one in a domain D if and only if D is contained in a half-plane whose…

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Q: 7. Given three point A(1, 1, 3), B(-14, 4, 21) and C(-4, 2, 9), a) use a vector method to show that…

A: We have to solve given Questions.

Q: 22 - 4y-9x2 = 36 %3D

A: This is a general formula of the 3d parabolic surface. For finding traces points we will use the…

Q: What is the condition for two central coincides in a triangle to be collinear?

A: A triangle has several significant points, known as its centers, such as the circumcenter, incenter,…

Q: 2. Find a unitvedctor with positive z-component porpendcular to the plane 2xt2y-2=3 Z-C

A: We will find out the required value.

Q: Let scxッリ):1W1く1っくる ニ be the Square with Sides of length 2. Let In be the Square pinmed at (0,0)…

A: Given,I=x,y: x≤1 , y≤1 : Square Length of square=2In is rotated through an angle 2πnθTo find:…

Q: Show that an isometry of a plane is completely determined by theimage of three noncollinear points.

A: To Show:An isometry of a plane is completely determined by the image of three non-collinear points.

Q: Show thata perojective plane of gives 0nder indeed BİBD (+n+l, n+),1)

A: We need to show that the projective plane of order n indeed gives a BIBD (n2+n+1,n+1,1)

Q: 2. Find the area of a parallelogram defined by PQ and QR when P = (4, 0, 1), Q = (5, -3, 0), and R =…

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Q: Show that ! fransform fix into It fn, linear "difference equation: equadion: SkH= +1. JKH

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Q: Consider the infinite geometry R^2, where points are (x, y) ∈R and lines are ax + by + c = 0 with a,…

A: We have to show that R^2 is an Affine plane.

Q: QuadrilateralPQRShasverticesP(0,2),Q(4,8),R(7,6),andS(3,0). a)ProvePQRSisaparallelogram.…

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Q: Q4) Answer true or fulse for the followings with given right answer: The slope of function Z = x +y…

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Q: Suppose that Tui, Tus As lineady independent (Here, TELLU, W)) Prove that vi, Vz is linearly…

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Q: 4. Find the unit bivector for the plane z = x+y. Where xe₁+ ye2 + zez denotes an arbitrary point on…

A: As per the question, we are asked to determine the unit bivector for the plane defined by the…

Q: Q) write down the application of cross dot scaler triple and vector triple product ?

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Q: Find the area of a parallelogram in 3-space when the adjacent sides are A` =2i`+4j`-3k` and B`=…

A: area of a parallelogram in 3-space when the adjacent sides are A` =2i`+4j`-3k` and B`= i`-2k`

Q: (4) 2 What is the square of the (minimum) distance between W and P? Let W Span< = -2 be a plane in…

A: Given that

Q: If a? + b² + c² =1, then the distance from P (x0, y0, z0) to the plane ax + by + cz = 0 is |. |.…

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Q: 2+9z X =,26+,A

A: Draw the quadratic surface y2+9z2=x using traces. Solution: The traces of the surface y2+9z2=x is…

Q: Let u = (2, -3, 4) and v = (-2, 1,3). What is the projection of u onto v (proj v u) and the scalar…

A: