2. Which of the following statements is TRUE about rectangle WXYZ. X z, 10 Figure 1 WV = VZ XZ XY O wv = XZ O XY = WX

Q: The distance from (6, 8, 11) to the yz-plane is: A. 10 OB. 7 O C. 5 O D. 6

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Q: For what values of h, b is in Span {v1,V2, V3} where 5 -4|, v3: %= 4 ,V2= 7

A: First we transfer this problem into a matrix then apply row reduction.

Q: 4. Let R be the parallelogram enclosed by the lines x + 3y = 0, x + 3y = 2, x + y = 1 and x + y = 4.…

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Q: Q7. What angle does the line of intersection of the plane O make with the nonnegative 2x + y - z = 0…

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Q: Given the [1 2 2 024 00 0-1 diagonalization, fill in the blacks 1 2 1] I Y 30 X= -1 0 0 0 0 16 0 20…

A: we have given the diagonalization of the matrixWe need to find the value of the x, y, z and w

Q: What is mJH J 7x +3 11x + 3 mJH = degrees

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Q: 2 2 15. Eind. the paints...an.the. surface. xy 2.=1 that. are *D.n. closest..botherrgi..…

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Q: 5. Evaluate 5z + 4 z² + 2z dz where C is the contour shown below. iR i of 1 +R

A: Given ,               ∫c 5z+4z2+2z where  'c' is a contour  in the given figure . (.)  Cauchy's…

Q: 4. Evaluate S. (z – 4) dz, where r is a contour from the two line segments, the first from z = -3 to…

A: Contour integrals or line integrals along a path C   can be written as ∫Cf(z) dz=∫abf(z(t) z'(t) dt…

Q: P.(98) Q 10. Show that Rº= span (1²³] 11]).

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Q: Evaluate . F dr where F(x, y, z) = zi + x²j + yk and C is the line segment from (1,2,3) to (4,3,2).…

A: Given Fx,y,z=zi^+x2j^+yk^. We have to evaluate ∫CF⋅dr, where C is the line segment from 1,2,3 to…

Q: - If p = y2 + xz , then curl grad p is equal to: a: - 2j b: 2j с: 2 d: zero

A: Here we have to find curl grad φ where φ is given.

Q: 4. Find the center of (a) V; (b) Q8-

A: We have to find centre of following groups: Definition: Let G is a group then centre of G denoted by…

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: 12. Triangle STU with verlices S-1,-6), 70.-3), and U3,-4): S': U': T'

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Q: A. Given z1 = 26 – j7, z2 = 3 + j4, z3 = zi, z4 = zż: 1. Find the sum and difference of z, and z2.…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: Find the distance from the point Q= (2,2,2) to the line of intersection of the planes x+y+z=1 and…

A: Distance from the point Q(2,2,2) to the line of intersection of planes x + y + z = 1 and x + y = 2

Q: 27 2 Let W = Span 1 -1 1 . Then, the distance and Y -3 -15 3 14 from y to W is

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Q: Find the eu. f line through the Pont (-2,3,4) and Parallel to e Planes: 2x +3y +42-5, 3X+4y+52 - 6…

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Q: 5. What is the distance between points N and M? y K L (0,3,-3) M ++ P (0,0,-3) Q (0,0,0)

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Q: let v = (1, 3, −2) and w = (2, −1, 4). Find the area of the parallelogram spanned by v and w.

A: Given: v=1,3,-2 w=2,-1,4 Determine the cross product of v and w.…

Q: are the following points collinear? show your calculation A( 0,10) B(3,4) C(-5,20)

A: We have to check

Q: 5. Parallelogram WXYZ is shown below. Find the value of x, y, WX, XY, and mLZ. 5x-12 Y (3y+42)°…

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Q: S. Re{z²}dz; C is the square with corners 0, 1,1+i, i. [1+i]

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Q: 4. Is WY a bisector of LXYZ? WHY? W 24 10 6a (4a+18) Y 24 YW = WZ = M2XYW = MZZYW = %3D EB bisects…

A: Given query is to find the Indicated sides and angle.

Q: 14. If EF bisects CD, CG = 5x - 1, GD = 7x- 13, EF = 6x - 4, and GF = 13, find EG. %3D 15. If R is…

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