3- The result of dot product between A=(2, 3, 1) and B=(-1, 5, 1) is: a) A. B=14 b) A. B=-34 c) A.B=34 d) A. B = -14

Q: Let a = - 2ỉ - 4j – k and b = 4j + 2k. Find — ả + b. V

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Q: Do b

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Q: abc and dbf are vertical angels, with m abc=4x and m dbf= 96x-12)

A: Here we find the abc and dbf are vertical angels.

Q: a. (371) b. (318) c. (3-1-8) d. (381) e (31-8) Index the following set of planes:

A: Given Information:To find:The indices of the given set of planes.

Q: 2) Find the quotient of and - 3 3) − 1 -/-/- × (-30 – 10

A: Solve

Q: Given A= 7 2 80 and B= - 2 3 find: a) A+B, b) A-B, c) 2A+5B

A: We need to find out the values as given.

Q: Q) find Projs ぶっi+) +3K, 5こてi-j+k

A: Given vector is : a→=i+2j+3kb→=2i-j+k To find the projection of b→ on a→.

Q: Q1:a\ Show that a₁ a2 b₁ b₂ ₂x+d₂ c₂x+d₂ b3 c₂x+d₂| a2 xb₁ b₂ b, C₁ C₂ C3 Ja, a2 + b₁ b₂ by d, d₂ d

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Q: Cx-3) Gょ2)tG3)

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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: 6.) Simplify: -2.5(-2b+ 3) – 6b

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Q: Q4 Determine i) S Inßx x²dx Sax+8 ii) çdx x²+4x4B

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Q: lAcOs3x+B sin sx) この

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

Q: -1 -4 -1 5 21 A -2 -5 -14 4888|16 Find the LU factorization of A = A =

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Q: Explain why (a +b)² # a² + b². (Hint: draw a square with side length a + b.) 3.

A: Let there be a square with side (a+b)We know the area of square is side*sideArea=(a+b)*(a+b)…

Q: Givon flox) =(-2)" and g() Soct2, glee) both (fog) (2) and (gof) (2) %3D

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Q: B = (1, 2) (-2,1.5) E = (-1,0.5) -2 -1 4 ch statement can be used to show AABC ~ ADEF? ADEF is the…

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Q: 4813 13

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Q: ...=A.B Ā.B al B =i- 2K 3Ã = 2ī – 35 – k US i3/

A: Here we have given two vectors A→=1i⏞-3j⏞-1k⏞ , B→=1i⏞-2k⏞ and we have to calculate A→.B→.

Q: Find the perimeter C(4, 4) (-3, 0) A (1, 4)

A: Graph of the triangle A(-3,0), B(1,-4), C(4,4) are given. we have to find its perimeter

Q: 3. State the GCF of each pair of terms. a) 6x and 10x b) 154³ and 20² c) ab and a²6² d) -2x¹y¹ and…

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Q: Let A4x6 then the size of AB and B, Select one: a. 4 x 4 b. 4 x 6 C. 6×6 d. 6x4

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Q: Assume that 12 + 22 + · · · + n2 = an3 + bn2 +en + d. Find a, b, c, and d.

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Q: Find the following dot product •

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Q: a) Verify using an example that a (B•) = (a•5)• č is not true. Explain your reasoning both…

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Q: а.) у 2 2х- 6

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Q: fG) Solve LI4 45(x-4) X-1 4J6C-4) X2-1

A: We solve the limit of given function.

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: Compute: (1, 2, 3) ·(-2, 1, 0)

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Q: Lot a,b,c be positive intergers, Prove that (ac, bc) = (9,b)c.

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Q: Evalmate: 3/2 Cas 3x) dx

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Q: Find whether A and B are independent in the following cases : (AB) = 256 ; (aB) = 768 ; (AßB) = 48 ;…

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Q: 9) translation:1 unit left and 6 units down (1, 3), (3, 5), H(4, 3) A) J(1, -2), /(3, 0), H(4, -2)…

A: 9)  Given The points are J(1,3) ,I(3,5) and H(4,3)   To find points after translation  Here…