Let X = {aa, bb, ab}, Y = {a, b}, Z = {ab, abab, ababab}. Answer with the elements of following 3 sets. (1). Power of Z: P(Z) (2). (X ∩ Z) × (Y ∪ Z) (3). (Y ◦ Y) × Y

Q: Find the value of x and y so that 3 6. 12 16 Both x and y are equal to..

A: We use the properties of matrices to find the values of x and y.

Q: Given the points A(-3, -4), B(-2, 1), C(1, 4), and D(3, -1). If W CB, what is v + w ? = DA and

A: If you have any questions let me know in comment box thankyou for your question.

Q: Let u = (3, 5, -1) and v = (2,2, 3). Find 3u + 7v (i t 3u + 7v. Mi ).

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Q: Find u x v, v x u, and v x v. u = (2, -9, –1) v = (9, -2, -6) (a) ux v (b) v xu (c) v x v V

A: We need to find cross product.

Q: Let ā = (2, 3, – 2) and b = (4, 2, – 2). - Find a · 6.

A: The dot product of two vectors is calculated as follows: a→·b→=xi^+yj^+zk^·ai^+bj^+ck^=ax+by+cz

Q: Evaluate ze -dz, where C is z+ 2 ((+2+2)?

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Q: let u=(1,2,8,-7) and v=(-7,8,1,-1) Select one: a. -10 b. 10

A: u = (1,2,8,-7) v = (-7,8,1,-1)

Q: 3 Shade the set (R nc)UT. =(RAC) UT and C-(RUT)

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Q: Let V4 = 4 V2 = V3 = -2 Pi -2 P2 2 2 and S = {v1, v2, V3, V4}. Determine whether pl and p2 are in…

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Q: Find a + b, 9a + 3b, Jal, and la - bl. a = 8i – 4j + 3k, b = 5i – 9k a+b = 9a + 3b = lal = la - b| =

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Q: Let triangle PQR be as shown, with P = (#1, #2, w3), Q = (v1, v2, y3), R = (z1, #2, z3). %3D R P )…

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Q: (7, -8) and w=(-4,8), Given v= find v+w. v+w=

A: We know that, A vector in form of V→=a,b is represented as V→=ai^+bj^

Q: V. Let u¯= (-7, –2) and v= (-7, -1). Find u Select the correct answer below: O (0, 1) O (14,3) O (0,…

A: Given u→=-7, -2 and v→=-7, -1

Q: Q2: if A= [{1,2},{3}], H= [{1}, {2,3}], G= [{1,3}, {2}] Show that A, H and G are mutually disjoint

A: Note: " Since you have posted multiple questions. we will solve the first question for you. To get…

Q: Let á (5, 5) and 6 = (- 3, 1). - Find ā · 6

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Q: 2. If p = 41+2j – k, q = 6i+ 6j– 2k and 7 = -3i – 4j– 3k, evaluate a) q• (p- 2r) b) (r +g• p) c)…

A: Here we use formula of dot product of two vector, and addition, subtraction, multiplication of…

Q: (2b) Let A and B be sets. Prove that A – B is disjoint from A n BC LA O BE

A: The set A∩B is defined as A∩B=x|x∈A and x∈B The set A-B is defined as A-B=x|x∈A and x∉B Two sets are…

Q: Let a = (-1,0, 5) and 6 = (3,-1,0). Find à x 6. < V

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Q: Q. One of the following statements is wrong: a. [-1,0] = [1,100] b.(2,3] = [-2,5) с. (1,2) %3DR…

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Q: 1. Find a b (a) a =, b = (b) a =, b = (c) a= 27 +3j - 4k, b = i-3j+k

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Q: Which of the following are linear combinations of v1 = (1, -2,2) v2 = (3, -5,7) O a. (24, -39, 51) O…

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Q: Pretend u x v = (0, 3, 2). What is (6u + 3v) × u? A) (0, 18, 12) B) (0,0, 0) C) (0, –9, –6) D) (0,…

A: To find the value of the given cross vector.

Q: Given A={x,y},B={1,2,3,} and C={m,n}. How many ordered pairs are there for AXBXC

A: Elements of A×B are the ordered pairs of the form  A×B=x, y | x∈A, y∈B Given : A=x, y, B=1, 2, 3,…

Q: (2, –1, 3) and b (-3, 3, 4). Calculate 2a – 3b and |a – b|. Clearly separate the Let a calculations.

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Q: write of linear Combination as a V,Vz, V3 where V= (2,7,10), V.=(1,2,3),V2=(1,3,5), V3=(1,5,9)

A: Let us assume v can be expressed as linear combination of v1, v2 and v3 v=av1+bv2+cv3…

Q: Find (a) u × v, (b) v × u, and (c) v × v. u = (3, −2, 4), v = (1, 5, −3)

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Q: 1. FIND ALL NUMBERS Z SUCH A23 Bz? +C2 = D 2 4 2 THAT %3D A = 13 1| T-1117 B = 124 2] 1 -2 -1 1 3 1…

A: Given A = 242131B = -1111-2-1C = 242131D = 1-1-1-121 Clearly C=AD=-B

Q: (9.1) Suppose u = (-6, 6) and v = (-2, –1). Find a. Ju| b. [2u с. и-v d. Ju – v|

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Q: Given A={a,i} and B={-1,0,1,2}. Which of the following ordered pairs is NOT an element of AxB?…

A: A×B is the Cartesian product of sets. Option (a) is correct.

Q: Let y = = 5 + 4 ՂԱ - and ux³ - 2x. =

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Q: Given that v=[0,2] and w = [5,-8], what is w-v? a. 5,6 b.-5,6 c.5,-6 d.-5,-6

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