Determine the area of AABC if A = (2, 1), B = (5, 3), and C is the reflection of B across the x axis.

Q: Find the angle between a diagonal of a cube and an ad­jacent edge.

A: Let the side of the cube is of length s. Let us take the side of thr cube to be vector<s,0,0>…

Q: 2. In parallelogram ABCD, the diagonals AC and BD meet at O. If AO = 3x – 1, OC = x +7 and OB = 2x +…

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Q: Where M, N, and P are the midpoints of the sides of  triangle RST and C is the centroid of the…

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Q: Sketch the triangle with vertices O, P = (0,7, 3) and Q = (7,4,0) and compute its area using cross…

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Q: Given W(-1,5,2), X(6,-2,3) and Y(-2,-7,-3), are points in 3D, then determine the area of…

A: To find the area of the parallelogram formed by two vectors

Q: Find the Hhe Teast square doluticn E of -6 -7 La %3D ->

A: From A we can write AT = 100010 ATA = 100010100100 = 1001

Q: 47. Sketch the triangle with vertices at the origin 0, P = (3,3,0), and Q = (0, 3,3), and compute…

A: The triangle OPQ formed by the three points P (3, 3, 0), Q (0, 3, 3) and origin O (0, 0, 0) is shown…

Q: 4. Describe the reflection(s) that will carry the rectangle onto itself. 10 -10-9 -7 01 -2 -6

A: Given: The rectangle ABCD. To describe: The reflection of rectangle.

Q: In AHIJ, mZH = (8x – 6)°, mZI = (2x – 4)°, and mZJ = (x – 8)°. Find %3D m/H.

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Q: Find the area of the parallelogram that has u =i- 2j + k and V=2j+ k as adjacent sides. NOTE: Enter…

A: Find the area of parallelogram

Q: A, B, and C are collinear points: Cis between A and B. If AC = 2x + 1, CB = 3x - 1, and AB = 35,…

A: Given that: A,B,C are collinear points C lies in between A and B

Q: Suppose z = e23"/4 and w = 2e"/4, find 2 and express your answer in rectangular form. %3D

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Q: 44. Use the cross product to find the area of the triangle with vertices P = (1, 1, 5), Q = (3, 4,…

A: If triangle T spanned by two non zero vectors u, v Then the area of the triangle is given by…

Q: Sketch the triangle with vertices at the origin O, P = (3, 3, 0), and Q = (0, 3, 3), and compute its…

A: The area of the triangle using the cross products is defines as Area=12v×u Here, v is the vector…

Q: Calculate the area of the triangle defined by u = (1, 6, 2), v = (3, 0, 5). [A3]

A: Here we have to calculate the area of the triangle having vectors,  u→=(1,6,2) and v→=(3,0,5)

Q: Find the Fourir for fcae) = (1+x) [-x, ] %3D

A: Given function is fx=1+x and −π,π We have to find the Fourier series of fx. The Fourier series of fx…

Q: In the figure, ray MO bisects ZLMN, MLLMO = (13z- 31)°, and MZNMO = (x + 53)°. Find the following.…

A: We have to find value of x, m<LMO and m<LMN where, m<LMO=13x-31°m<NMO=x+53° Given figure…

Q: Sketch the = (os (2x Nof ares, = Coscar ophs de fired be 150°) =య r ® U the same set on wheoc -300°…

A: Individual graph for understanding

Q: In AAEC, G is the centroid. 6. D 世 B If EG = 6, find GB. O 2 O 3 O 6

A: Centroid of a triangle is the point of intersection of the medians of the triangle.  Centroid…

Q: Find midpoint M of P,P2, which joins P1(5, -7, 2) and P2(2, 5, 6), as shown in Figure 10.46 of…

A: Formula used : Mid-point formula Mx1+x22,y1+y22,z1+z22 Here (x1,y1,z1) and (x2,y2,z2) are the end…

Q: Discuss the cosets of { (x, y) | x, y E R, x = y } in (R × R, +).

A: {(x,y) / x,y∈ℝ , x=y} in (ℝ×ℝ,+)

Q: - Show that the area of the triangle whose vertices are the [x1 yi det X2 Y2 A - points (x₁, y₁),…

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Q: 1. Construct the bisector of XY.

A: We need to draw bisector of line. AS per our guidelines we can not solve multiple questions so I am…

Q: Find the area of the parallelogram that has adjacent sides u=2i−j+k and v=2j−k.

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Q: in C6. Evoluate the Rxpiession, write your ans wer polar and rectangulor form

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Q: Find 36 zdV, where E is the solid tetrahedron with vertices (0,0,0), (3,0,0), (0,6,0), and (0,0,2) E

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Q: Compute the areas of the polygons in Figure 28. Check your result for the area of the triangle in…

A: Consider the provided information, Find the area of the of the triangle.

Q: If BX is the bisector of <ABC Then ___=____

A: We know that if BX is the bisector of ∠ABC then ∠ABX=∠CBX

Q: Find the area of JEN if the coodrinates of the vertices are J(0,3) E(6,0), and N(8,3)

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Q: If the point (p, q) , (m, n) and(p-m, q-n) are collinear show that pn = qm

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Q: Evaluate O ry*da + x°dy, where C is the rectangle with vertices (0,0), (1,0), (1,5), and (0,5)

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Q: Let S,(x) = 2x³ – 3x² + 3x – 4, 0<x < 1, S,(x) = x³ + b,x² + c,x + d,1 sxs 2. Find b,, C1, d, that…

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Q: Find the area of the parallelogram spanned by v = (1, 1, 1) and w = (0, 0, 2).

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Q: Find the projection of b = 5i – k onto à = i+ 2j+ 3k. %3D

A: We have to find the projection of →b on →a

Q: If A %3D аx + За, and B %3D 5ax + 2а, — баz, find @AB- АВ

A: ANGLE BETWEEN TWO VECTOR

Q: In Da, let r be the rotation (counter clockwise) of the regular polygon and let s be a reflection.…

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Q: Which of the letters B, O, K, I, V, F, X, D, L, and Y are their own images under a rotation by an…

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Q: form y = mx + b that repres

A: From given graph it is clear that

Q: Qsit Prove that the Centre of a gp îs noymal. of

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Q: Sketch a tetragonal unit cell,and within that cell indicate location of the 1 1 1/2 and 1/2 1/4 1/2…

A: Dimensions of tetragonal unit cell are a=b≠c and all angles equal 90° Point 11212is shown bwlow,…

Q: Find ff 3xydA over the triangular region D with vertices (0,0) (2,0), (0, 4)

A: We will solve the problem

Q: Show that the points E(2, 2, 2), F(2, 0, 1), G(4, 1, -1) and H(4, 3, 0) are coplanar and that they…

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Q: Find the area of the parallelogram that has two adjacent sides u=-3i+2k and v=i+j+2k

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Q: What are the perpendicular generators on (P) to 4 %3D of the surface

A: Given equation s are, x216-y24=z....1x3=y2=z-4...2 Equation of generators of the hyperboloid (1) are…

Q: ■ Show that the area of the triangle whose vertices are the [X1 У1 points (x₁, y₁), (X2, Y2) &(X3,…

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Q: Find the norm of the image of U(7, 8) by an reflection about y-axis

A: To Determine :-  The norm of the image of U 7 , 8 by an reflection about y- axis.

Q: Suppose that A = SS−1, where  is a diagonalmatrix with diagonal elements λ1, λ2, . . . , λn. Show…

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Q: Find the COM of the laminas in Figure 26 obtained by removing squares of side 2 from a square of…

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