(b) For each of the symmetry operations in Dzh, identify a "complementary" operation, A, that combines with it to produce a net inversion operation, i. For example, for the identity operation, the complementary operation would simply be f. Once you have found these complementary operations, evaluate the result of i Å for each. Is there a pattern? (c) Construct transformation matrices for the symmetry operations i, C₂(z), and 8(xy), then evaluate the product of these matrices, i C₂(z) 8(xy). What is the symmetry operation represented by the product matrix?

Q: m³ ² m² 771 A) m10 26 B mx? 211 p2 D m² x²

A: m5 ●x2 ●m4 / m2 = m9 ● x2 / m2

Q: Find a b. a = 61 + , b-1 - 9) + k

A:

Q: Use the union rule to answer. If n(A) = 6, n(B) = 11 and n(An B) = 5, what is n(A U B)? n(A U B) =

A:

Q: 3 ve AB: BBT = ? A FIND 7. 4 2 OA) 2 -1 4 -2] OB) -2 1 [] --4 2° 2 1 OD) -4 2 OE) 2 -1

A: We have to find BBT .

Q: If a = 4, y = 3, then 3a + 5 = 20 - y Select one: O True O False

A:

Q: C A If CA = 5x + 5 and EA = 10x - 20, find CE. %3D O 60 O30 O 10 10

A: To find the CE

Q: Let a = (- 3, 5, – 5) and b = (3, 5, – 1). Find - 3å + 26. - 3å + 26 =

A:

Q: Let = 2 4 -1 1 and w Then proju = 00 0

A:

Q: az If b b2 b3 = -2, find C2 C3 a1 - a3 a2 bị - b3 b2 bz. C1 - c3 c2 C3

A: Given,  a1a2a3b1b2b3c1c2c3=-2

Q: Prove: If (where b + 0 and d + 0), then C + d d a + b

A: Consider the given information, If ab=cd then show that a+bb=c+dd. First we consider ab=cd.

Q: Verify A(BC) = (AB)C, where 3 0 A = [¹, 3). B-² i 2). C= ² 1 01 0.2 = -3 1 1 1

A:

Q: If a, b, c, d, e are in A.P., then the value of    a–4b+6c–4d+e  is

A:

Q: Find, if possible, (a) AB and (b) BA.

A: We know the order of a matrix is defined as  ---->  m x n where, m = number of rows…

Q: Let 2 A = 3 and B = -3 Show that AB # BA.

A: Given, A=1232,  B=2-1-34

Q: Determine how AABC was translated. ...

A: We can use the graphical translation in order to solve the given problem.

Q: Use the union rule to answer. If n(A) = 10, n(B) = 15 and n(AB) = 8, what is n(A U B)?

A:

Q: A - B2 {3} and {2} CB implies that {2, 3} CA U B. Select one: O True False

A: Given : A - B ⊇ {3} {2} ⊆ B So, A ∪ B = {2,3} {2,3} ⊆ A ∪ B

Q: Let a 51 – 2j and b- 21 +j- 7k then what is a. b =? O a. 1 O b. -12 Oc-8 O d. 12 O e. 8

A: a= 5i -2j  b = 2i + 1j -7k

Q: Let A= {2, 4, 6}, B={2, 6}, C={4, 6} and D={4, 6, 8}.

A:

Q: B. 120 + g 139 M.

A:

Q: lAcOs3x+B sin sx) この

A: Given solution with condition is  yx=exAcos3x+Bsin3xy(0)=0y'(0)=1

Q: 7) Find BC 18 3х - 6 В 32 E

A:

Q: Find, if possible, (a) AB and (b) BA.

A: (a) Consider the given matrices A and B. As the number of the rows is equal to the number of columns…

Q: Given that: 4x2 +3y = 2z . Which of the following are true? a. 3y=2z+4x2 b. 2z=4x2-3y c.…

A: Given that: To determine the true statement.

Q: . If an+1 = 2an + 3 and ao = 1, then a7 509 513 496 487

A:

Q: b. Find A and B so that A = 27 = P(A, B). and B =

A:

Q: f A=2 and c=14 find b ABC with C=90

A:

Q: If z 2 = Rep, then write za+iß as Ae B

A:

Q: If A={1,2} and B={a,b,c}, find: I. A*B II. P(B) III. n(P(A))

A: A={1,2} B={a,b,c} A*B={(1,a),(1,b),(1,c),(2,a),(2,b),(2,c)}     2)P(B)={…

Q: In the diagram below, if AB= 40, CD = 25, and AD = 80, find BC. D. O 15 O 40 О 25 O 60

A:

Q: Find AB given that: 2 -4 170 A -35 11 and B- 0 -2 8.

A:

Q: 25) Find mzDCA 50 +x D. 75+2x 175°

A:

Q: 1 -1 2 2 1 -1 A = 2 B = 1 3 2 4 C = 1 -1 4 -4 Find A - B, A+ B, and A + C.

A: Here, A and B are of the same order so A-B and A+B is possible but A+C is not possible because A and…

Q: Find the following expressions if a = (6r, 0, r), b = (6s, –s, 7s), and c = (2t, 10t, 5). a ·b = 1.…

A: We need to find dot product.

Q: If a? + b² = 1 and c2 +d² = 2 then the value of (ac+ bd)² + (ad – bc)² is, a. b. с. 1 d. 2 -/2419

A: Given

Q: 4E + B e SEppose - and A-(8 then %3D a3 Pind ai/a2/a3, au And find the value of B

A:

Q: (a + b) (a+b+c) = a² + 2ab + b² + ac + bc Select one: O True O False

A: Solution-

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

A: ANGLE BETWEEN TWO VECTOR