6. Consider the following diagram: CII A(-1,2,0) B (-3,1,2) C(4,3,-1) proJa Il proj- u соб е

Q: 11) Do the diagonals of figure ABCD bisect each other? Justify. A (-7, 5) B (6, 5) D(-9, -2) C(4,…

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Q: let u=(1,2,3), v=(3,2,1) and w=(4,5,6) u.(2v)= Select one: 1/20 20 -20 -1/20

A: The given vectors are: u=(1, 2, 3)v=(3, 2, 1)w=(4, 5, 6)

Q: f1- estion 1 of 23 The functions f and g are defined by f(x) = %3D .le + 피 and g(x) = 5 - x 4,…

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Q: Let A=(1,2,3,4), B=(00,01,10,11), C=(x.y.z). f, = {(1,00).(2,01).(3,01).(3,10) (4,11)} f2 = ((1,x),…

A: f3 is a function from A to B . f1 is a function from A to B. domain of both f3 and f1 Is A and Range…

Q: If u = (1,6,6), and v=(6,-3,2), proj,u = a. b. scal,u= proj,v%3D с.

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Q: 2) Show = din (2) +C

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Q: draw a hasse Diagram

A: Given - R = 1, 1, 3, 2, 1, 3, 2, 2, 3, 3, 1, 2 To find - Draw a Hasse Diagram.

Q: (2 3. Let A = G) and B = (; ). Compute and compare: %3D a. Det(A + B), det(A) + det(B). b. det(3A),3…

A: We have A=2-135 and B=1211 Part(a) Now if we have a matrix M=abcd, then, detM=abcd=ad-bc Therefore,…

Q: If a(3, 4) – b(2, 4) = (8, 10), determine a and b.

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Q: Given i [2, – 5Jand i = [-7,2] find %3D b. ủ •

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Q: if u = (-1,0) and v = (3,-1), then 2u - 3v is:   a)   (-10, -3)   b)  (-10, 3)   c)  (10, -3)…

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Q: At which of these times (A, B, C, D, E) was runner 1 stopped and runner 2 running? (Select all that…

A: From the graph it can be observed that, At time A the runner 1 had stopped and runner 2 was running,…

Q: AN 3. Given R(x) = a) R (-1 3x-1 TED COMPILED ANDEDIB COMPILED AND EDITE COMPILED AND SoCOMPILED AND…

A: This is a composition of functions.

Q: Find the best fit line for (17,4), (-2,26) (11,7)

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Q: Suppose E = {a, b, c, d, e, f, g, h, i, j}, %3D A= {a, b, c, d, e, f, g}, B= {b, d, f, i, j}, C =…

A: Given sets are

Q: 1. If ü= (2,-3), v=(1, -5), and w=(6, 2), determine the following: a) |ü +v| b) 3 ỹ -ū +w

A: a) u→+v→=(2,-3)+(1,-5)=2+1,-3-5=3,-8=32+(-8)2=9+64=73|u→+v→|=73

Q: Suppose u=⟨−4,4,−2⟩ and v=⟨4,−2,3⟩. Then u×v=   v×u=

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Q: 6. Evaluate u x v, where u = -e, - 2e, + 2e,, v = 2e, - 2e, +e,.

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Q: Find x, y, z and w if (::)-(; )-(.. ") 4 x + y 3 -1 2w z + w 3

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Q: 5. Let a = = (2 5 9) o (1 3 6) and 3 = (1 5 7) 0 (2 4 6 9) € Sg. Find ao Boa-¹.

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Q: 5. If Ā= 2 4 If A and B -2 3) find: 5 7 (a) AB (b) Ã+E (c) 2A" - E (d) a" (A- E)

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Q: 16. Show whether point N lies on or outside the line AB N=(2,1.5,3), B (0,1,2), A (4,2,4) N=(2,2,5)…

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Q: y = 16 - x2 8. y 3- -4 -2 -1 2) 2.

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Q: 4. Let A %3D {a, b, c}, В %3D {x, у}, and C %3D {0, 1}. Find a) АхВх С b) СхВхА с) СхАх В d) ВxВxВ.

A: Given that: 4. A={a, b, c}, B={x, y}, C={0, 1}   NOTE: As per our answering guidelines, we can only…

Q: 3. Consider A={m,a,t,h}; C={x:x=3n,1sns4,neN}; B={s,t,e,m} ; D={x:x=2n,15n S6,nEN} What is ANB?

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Q: Let u = (3, 1, 2), 1 = (1,0,1), v2 (2, 1, 3), v3 = (4, 2, 6). Find C₁, C2, C3 such that = u = C1v₁ +…

A: In this question, we want to find the values of the cofficients of the given linear combination of…

Q: The height of adult males from a specific species is normally distributed with an unknown mean a and…

A: Claim : the true population mean height u is more than 2 meters.

Q: y P(14r-8) (12y)

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Q: dx, dt d²x₂ dx₁ + dt² dt 7. X₂ = a₁ 8. X3 = X₁

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Q: 1 Give the second component of the projection of 2 -1 -1 2 onto Nul 3 2-2 2 4 -1,

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Q: To say that two variables are confounded means that? Only one answer A) they both vary at the same…

A: Confounding variable: Confounding variable is a third variable that has impact on both dependent and…