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) (p-q)•r

Q: 5) If w = 4i + 4j, find 2w. 6) If v = 3i - 5j and w = -7i + 4j, find 3v - 4w. 7) If v = -4i + 4j,…

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Q: 2. Find p and q such that 7x+1 5 |5x-1|≤4 implies p ≤: <q

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Q: Find the pebability of dekeching cheonge ŷ (1-B) po = 0.114 p= 0.0526 n= 100 LCS = 0.1195 %3D LC =…

A: The probability of detecting change is 1-β (given). P0=0.114 P1=0.0526 n=100

Q: f A=6i+4j-k and B=7i-j+8k, what is R= A+B? If A=6i+4j-k and B=7i-j+8k, the R=A.B

A: Given, A=6i+4j-kB=7i-j+8k

Q: Let X- Unif(4, 10). a. Calculate P(X 1). Prob = C. Assuming that 4 SIS5, calculate P(X <t|X< 5).…

A: X~ Uniform(4, 10) a) P(X&lt;5)=x-ab-a=5-410-4=16=0.1667 Therefore, P(X&lt;5)=0.1667

Q: Suppose z = 7+-8i and w = 9+7i. Then Re (2)=? %3D

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Q: 16) If v = 9i + 3j, what is || 8v ||?

A: Recall: If v→ =v1i +v2j then , v→ =v12+v22

Q: If v = 10i+4j, then find ||-7v|| O 74 O 75.4 O 64.2 O -75.4

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Q: 3 2 Let A = Write 2A. Is det(2A) equal to 2det(A)? 1 9 2A =

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Q: 2. If BDbisects <ABCand m<ABD=10x-3 and m<DBC=2x+5, find m<ABC. A

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Q: (B) (AB) (BC) (CA) NY, 22.13. Show that if (A) (B) (C) = 3x and = x, 2x, %3D N N then the value of…

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Q: Prove that Ek=0 C) 7n-k . 2k = 32n %3D

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Q: 5. If Z1 = V3 – 2i, Z2 = -i+1 and Z3 = 4i – 2. Evaluate (i) Re{3Z} – 5Z7 + 2Z}} (ii) |(1+ Z2+ Z3)(i…

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Q: O Find The lengTh and divection of AXB BXAif OA=2i •B-3j %3D

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: If z1 = 1+ jb , Z2 = re¬1² , z/z2 = -10 , determine all possible values of b and r %3D

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Q: Let W = (a + bxr +x? € P: a,b ER) with the standard operations in P2. %3D Which of the following…

A: W is not a subspace of P2 because 0 does not belong in W.

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: Q.8 If v = (x² + y² + z?)¯/2, prove that a2v + ду? = 0. ax2 az2

A: We find second  the partial derivatives lf given function with respect to x, y and z and then add to…

Q: r* – 2 Show, using the definition, that is O(z²). z +1

A: Here, To satisfy the definition of O(x2), we need to find an appropriate choice of c and k.Let’s…

Q: if it was A j +2k and B= so 4R + 20 -太2 21 +9d+ 221 6- + 9 j -k 6. 9 not of the above

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Q: 8 EXIIIF w-fcxr y),X=2u+3 V » Provethat wuv= bW XX+5wxy-6wyy 10 11 13 12

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Q: Given that A = 2i +3j - k. B=i-j+2k and C = 3i + 4j + 5k If D is such that A - B + 3D = 0 and D =.…

A: See the attachment

Q: Given u = 5i + 4j and v=4i-3j, determine -9u - v

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Q: Q7. V(x, y) = x³ + y³ and x = 2t +r,y = 2t – r , what av? is ? ar

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Q: Find the value of k for which A is symmetric: 1 4 3k A = 4 27 %3D 29 12 7k +1 9.

A: We have to find value k

Q: Q4: Answer two only: 4 2 2 -2 Find AB and AC. A): If A = 01 0; 1 -1 1. 2 B = 2 -1 3 -2 2 4-1711 -2…

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Q: If z = -9xe-4xy and x = √√t, y = . Then, the value of 27 t = 4 is equal to 4e² Select one: O True O…

A: We can answer the question as below using the rules of derivative.

Q: a) If Z1 = -3 + 3i and Z2 = 4i. Show that: i) Arg(Z,Z2) + Arg(Z,) + Arg(Z2) ii) Arg (2) = Arg(Z,) –…

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Q: Q7) Calculate AC. BC and (A + B)C. Also, verify that (A + B)C=AC + BC 0 6 7 [0 1 1] If A = -6 0 8,B=…

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Q: For u(x) = 4x2 - x + 5 and v(x) = 2x + 4, which of the following is correct? a) (u – v)(2) = 11 b)…

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Q: Prove that {4a + 126 : a, b E Z} = {4c: c € Z}.

A:

Q: In OP, QR ST Which statement must be true? Select all that apply. R. Q A. AQRP = ASTP В. QR = RS C.…

A: A)True In △QRP and △STPQP=SP    ( radius of the same circle )PR=PT    (radius of the same circle…

Q: -2/2] 2 3) If A= and B 2 2v21. Show that A and B commutative.

A: The two matrices A and B are said to be commutative if AB=BA. The given matrices are…

Q: 4 GuNeer that K 9 laJ ) ficed fle xale of K 2 5,

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Q: 3) If a = 31-2j, b = 7i+5j and c = 9i-j, show that a - (b-c) = (a - b) - (a - c). %3D

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Q: 3. Show that a2 + b2 + c2 > ab + bc + ca and using this result show that (a) (a + b + c)2 > 3(ab +…

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Q: Show that ∗ : R × R → R given by           a ∗ b → a + 2b is not associative.

A: Given:Show that ∗: R × R → R given by           a ∗ b → a + 2b is not associative.

Q: Assume that u. v = 2, ||u|| = 9, and ||v|| = 3. What is the value of 1u (2u - 10v)?

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Q: O Solve The Set of Imear eguatiomos af (2 - 3X - 2y +42= 9. -34-22=5 4X+3y-2Z=7 %3D %3D

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Q: 10 Let A = ,C = 6 1 and D ,B = -3 -7 Find X, if AB" + 14C¬1 – |D|X = 0 %3D

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Q: 6. Use the figure to answer the following. (8x-20) a. supplement of ZZ 42.1 C. complement of Y

A: Note -I think you mean question no. 6  which is in the image. Answer to the question 6 part a and c…

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: Show that, by det by b2 92 •92 =TT (ai-bi) br b2 b3 an

A: We have to show that det111⋯1b1a1a1⋯a1b1b2a2a2⋮⋮⋮⋮b1b2b3⋯an=∏i=1nai−bi Let us consider the matrix…

Q: Given that; z=ilitil (1-2i)² and (Z-áilt Plz-3i) = 7. fiml He Vele for Pard 7 O TECNO

A: Solution

Q: Q3) Assume A = [4 6 3 11 7 2 [32] and B = 1 14 5 show that (AB)' = B' A' 31

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Q: Let x € U = Q and p(x) : 3x² + 5x – 2 = 0. a. Write the following statement: (3r) p(x). b. Is it…

A: Given that: p(x):3x2+5x-2=0

Q: If m = 7i+4j-3%, n=-6i–3j+4% and p=i-9j+10k, evaluate a) m• (n- p) b) (m – n)• (m + n)

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Q: 15) If v = 3i – 5j and w = -7i + 4j, find 3v – 4w.

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Q: What is (A - B) and |A - B| * A = i + 2j – k, B = -2i + 3j + k |

A: